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Evokation
  
 
Index
  

 

 

 

 

 

26
A
B
C
D
E
F
G
H
I
J
K
L
M
N
O
P
Q
R
S
T
U
V
W
X
Y
Z
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
8
9
-
-
-
-
5
6
-
-
-
1
-
-
-
-
6
-
8
+
=
43
4+3
=
7
-
7
-
7
-
-
-
-
-
-
-
-
8
9
-
-
-
-
14
15
-
-
-
19
-
-
-
-
24
-
26
+
=
115
1+1+5
=
7
-
7
-
7
26
A
B
C
D
E
F
G
H
I
J
K
L
M
N
O
P
Q
R
S
T
U
V
W
X
Y
Z
-
-
-
-
-
-
-
-
-
-
-
1
2
3
4
5
6
7
-
-
1
2
3
4
-
-
7
8
9
-
2
3
4
5
-
7
-
+
=
83
8+3
=
11
1+1
2
-
2
-
1
2
3
4
5
6
7
-
-
10
11
12
13
-
-
16
17
18
-
20
21
22
23
-
25
-
+
=
236
2+3+6
=
11
1+1
2
-
2
26
A
B
C
D
E
F
G
H
I
J
K
L
M
N
O
P
Q
R
S
T
U
V
W
X
Y
Z
-
-
-
-
-
-
-
-
-
-
-
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
+
=
351
3+5+1
=
9
-
9
-
9
-
1
2
3
4
5
6
7
8
9
1
2
3
4
5
6
7
8
9
1
2
3
4
5
6
7
8
+
=
126
1+2+6
=
9
-
9
-
9
26
A
B
C
D
E
F
G
H
I
J
K
L
M
N
O
P
Q
R
S
T
U
V
W
X
Y
Z
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
-
-
-
-
1
-
-
-
-
-
-
-
-
1
-
-
-
-
-
-
-
+
=
1
occurs
x
3
=
3
-
3
-
-
2
-
-
-
-
-
-
-
-
2
-
-
-
-
-
-
-
-
2
-
-
-
-
-
-
+
=
2
occurs
x
3
=
6
-
6
-
-
-
3
-
-
-
-
-
-
-
-
3
-
-
-
-
-
-
-
-
3
-
-
-
-
-
+
=
3
occurs
x
3
=
9
-
9
-
-
-
-
4
-
-
-
-
-
-
-
-
4
-
-
-
-
-
-
-
-
4
-
-
-
-
+
=
4
occurs
x
3
=
12
1+2
3
-
-
-
-
-
5
-
-
-
-
-
-
-
-
5
-
-
-
-
-
-
-
-
5
-
-
-
+
=
5
occurs
x
3
=
15
1+5
6
-
-
-
-
-
-
6
-
-
-
-
-
-
-
-
6
-
-
-
-
-
-
-
-
6
-
-
+
=
6
occurs
x
3
=
18
1+8
9
-
-
-
-
-
-
-
7
-
-
-
-
-
-
-
-
7
-
-
-
-
-
-
-
-
7
-
+
=
7
occurs
x
3
=
21
2+1
3
-
-
-
-
-
-
-
-
8
-
-
-
-
-
-
-
-
8
-
-
-
-
-
-
-
-
8
+
=
8
occurs
x
3
=
24
2+4
6
-
-
-
-
-
-
-
-
-
9
-
-
-
-
-
-
-
-
9
-
-
-
-
-
-
-
-
+
=
9
occurs
x
2
=
18
1+8
9
26
A
B
C
D
E
F
G
H
I
J
K
L
M
N
O
P
Q
R
S
T
U
V
W
X
Y
Z
-
-
45
-
-
26
-
126
-
54
-
-
-
-
-
-
-
-
-
9
-
-
-
-
-
-
-
-
9
-
-
-
-
-
-
-
-
-
-
4+5
-
-
2+6
-
1+2+6
-
5+4
26
A
B
C
D
E
F
G
H
I
J
K
L
M
N
O
P
Q
R
S
T
U
V
W
X
Y
Z
-
-
9
-
-
8
-
9
-
9
-
1
2
3
4
5
6
7
8
9
1
2
3
4
5
6
7
8
9
1
2
3
4
5
6
7
8
-
-
-
-
-
-
-
-
-
-
26
A
B
C
D
E
F
G
H
I
J
K
L
M
N
O
P
Q
R
S
T
U
V
W
X
Y
Z
-
-
9
-
-
8
-
9
-
9

 

 

ADVENT 779 ADVENT

 

 

-
THE RAINBOW LIGHT
-
-
-
3
THE
33
15
6
7
RAINBOW
82
37
1
5
LIGHT
56
29
2
15
THE RAINBOW LIGHT
171
81
9
1+5
-
1+7+1
8+1
-
6
THE RAINBOW LIGHT
9
9
9

 

THIS IS THE SCENE OF THE SCENE UNSEEN

THE UNSEEN SEEN OF THE SCENE UNSEEN THIS IS THE SCENE

 

 

3
THE
33
15
6
4
MIND
40
22
4
2
OF
21
12
3
9
HUMANKIND
95
41
5
18
-
189
90
18
1+8
-
1+8+9
9+0
1+8
9
-
18
9
9
-
-
1+8
-
-
9
-
9
9
9

 

 

5
THE SOLAR SYSTEM
-
-
-
3
THE
33
15
6
5
SOLAR
65
29
2
6
SYSTEM
101
38
2
14
THE SOLAR SYSTEM
199
82
10
1+4
-
1+9+9
8+2
1+0
5
THE SOLAR SYSTEM
19
10
1
-
-
1+9
1+0
-
5
THE SOLAR SYSTEM
10
10
1
-
-
1+0
-
-
5
THE SOLAR SYSTEM
1
1
1

 

 

3
SUN
54
9
9
7
MERCURY
103
40
4
5
VENUS
81
18
9
5
EARTH
52
25
7
4
MOON
57
21
3
4
MARS
51
15
6
7
JUPITER
99
36
9
6
SATURN
93
21
3
6
URANUS
94
22
4
7
NEPTUNE
95
32
5
5
PLUTO
84
21
3
59
First Total
863
260
62
5+9
Add to Reduce
8+6+3
2+6
6+2
14
Second Total
17
8
8
1+4
Reduce to Deduce
1+7
-
-
5
Essence of Number
8
8
8

 

 

3
SUN
54
9
9
5
EARTH
52
25
7
4
MOON
57
21
3
12
First Total
163
55
19
1+2
Add to Reduce
1+6+3
5+5
6+2
3
Second Total
10
10
10
-
Reduce to Deduce
1+0
1+0
1+0
3
Essence of Number
7
7
7

 

 

-
8
U
N
I
V
E
R
S
E
-
-
-
-
-
-
-
-
-
-
-
-
-
5
9
-
-
-
1
-
+
=
15
1+5
=
6
=
6
=
6
-
-
-
14
9
-
-
-
19
-
+
=
42
4+2
=
6
=
6
=
6
-
8
U
N
I
V
E
R
S
E
-
-
-
-
-
-
-
-
-
-
-
-
3
-
-
4
5
9
-
5
+
=
26
2+6
=
8
=
8
=
8
-
-
21
-
-
22
5
18
-
5
+
=
71
7+1
=
8
=
8
=
8
-
8
U
N
I
V
E
R
S
E
-
-
-
-
-
-
-
-
-
-
-
-
21
14
9
22
5
18
19
5
+
=
113
1+1+3
=
5
=
5
=
5
-
-
3
5
9
4
5
9
1
5
+
=
41
4+1
=
5
=
5
=
5
-
8
U
N
I
V
E
R
S
E
-
-
-
-
-
-
-
-
-
-
-
-
-
-`
-
-
-
-
1
-
-
-
1
occurs
x
1
=
1
=
1
2
-
-
-
-
-
-
-
-
-
-
-
2
TWO
2
-
-
-
-
-
-
-
3
-
-
-
-
-
-
-
-
-
3
occurs
x
1
=
3
=
3
-
-
-
-
-
4
-
-
-
-
-
-
4
occurs
x
1
=
4
=
4
-
-
-
5
-
-
5
-
-
5
-
-
5
occurs
x
3
=
15
1+5
6
6
-
-
-
-
-
-
-
-
-
-
-
6
SIX
6
-
-
-
-
-
7
-
-
-
-
-
-
-
-
-
-
-
7
SEVEN
7
-
-
-
-
-
8
-
-
-
-
-
-
-
-
-
-
-
8
EIGHT
8
-
-
-
-
-
-
-
-
-
9
-
-
9
-
-
-
-
9
occurs
x
2
=
18
1+8
9
23
8
U
N
I
V
E
R
S
E
-
-
22
-
-
9
-
41
-
23
2+3
-
-
-
9
-
-
9
-
-
-
-
2+2
-
-
-
-
4+1
-
2+3
5
8
U
N
I
V
E
R
S
E
-
-
4
-
-
9
-
5
-
5
-
-
3
5
9
4
5
9
1
5
-
-
-
-
-
-
-
-
-
-
5
8
U
N
I
V
E
R
S
E
-
-
4
-
-
9
-
5
-
5

 

 

8
U
N
I
V
E
R
S
E
-
-
-
-
-
-
-
-
-
-
-
-
5
9
-
-
-
1
-
+
=
15
1+5
=
6
=
6
=
6
-
-
14
9
-
-
-
19
-
+
=
42
4+2
=
6
=
6
=
6
8
U
N
I
V
E
R
S
E
-
-
-
-
-
-
-
-
-
-
-
3
-
-
4
5
9
-
5
+
=
26
2+6
=
8
=
8
=
8
-
21
-
-
22
5
18
-
5
+
=
71
7+1
=
8
=
8
=
8
8
U
N
I
V
E
R
S
E
-
-
-
-
-
-
-
-
-
-
-
21
14
9
22
5
18
19
5
+
=
113
1+1+3
=
5
=
5
=
5
-
3
5
9
4
5
9
1
5
+
=
41
4+1
=
5
=
5
=
5
8
U
N
I
V
E
R
S
E
-
-
-
-
-
-
-
-
-
-
-
-
-`
-
-
-
-
1
-
-
-
1
occurs
x
1
=
1
=
1
-
3
-
-
-
-
-
-
-
-
-
3
occurs
x
1
=
3
=
3
-
-
-
-
4
-
-
-
-
-
-
4
occurs
x
1
=
4
=
4
-
-
5
-
-
5
-
-
5
-
-
5
occurs
x
3
=
15
1+5
6
-
-
-
9
-
-
9
-
-
-
-
9
occurs
x
2
=
18
1+8
9
8
U
N
I
V
E
R
S
E
-
-
22
-
-
9
-
41
-
23
-
-
-
9
-
-
9
-
-
-
-
2+2
-
-
-
-
4+1
-
2+3
8
U
N
I
V
E
R
S
E
-
-
4
-
-
9
-
5
-
5
-
3
5
9
4
5
9
1
5
-
-
-
-
-
-
-
-
-
-
8
U
N
I
V
E
R
S
E
-
-
4
-
-
9
-
5
-
5

 

 

-
-
-
-
-
THE UNIVERSE
-
-
-
T
=
2
-
3
THE
33
15
6
U
=
3
-
8
UNIVERSE
113
41
5
-
-
5
-
11
THE UNIVERSE
146
56
11
-
-
-
-
1+1
-
1+4+6
5+6
1+1
-
-
5
-
2
THE UNIVERSE
11
11
2
-
-
-
-
-
-
1+1
1+0
-
-
-
5
-
2
THE UNIVERSE
2
2
2

 

 

-
11
T
H
E
-
U
N
I
V
E
R
S
E
-
-
-
-
-
-
-
-
-
-
-
-
-
8
-
-
-
5
9
-
-
-
1
-
+
=
23
2+3
=
5
=
5
=
5
-
-
-
8
-
-
-
14
9
-
-
-
19
-
+
=
50
5+0
=
5
=
5
=
5
-
11
T
H
E
-
U
N
I
V
E
R
S
E
-
-
-
-
-
-
-
-
-
-
-
-
2
-
5
-
3
-
-
4
5
9
-
5
+
=
33
3+3
=
6
=
6
=
6
-
-
20
-
5
-
21
-
-
22
5
18
-
5
+
=
96
9+6
=
15
1+5
6
=
6
-
11
T
H
E
-
U
N
I
V
E
R
S
E
-
-
-
-
-
-
-
-
-
-
-
-
20
8
5
-
21
14
9
22
5
18
19
5
+
=
146
1+4+6
=
11
1+1
6
=
5
-
-
2
8
5
-
3
5
9
4
5
9
1
5
+
=
56
5+6
=
11
=
5
=
5
-
11
T
H
E
-
U
N
I
V
E
R
S
E
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-`
-
-
-
-
1
-
-
-
1
occurs
x
1
=
1
=
1
-
-
2
-
-
-
-
-
-
-
-
-
-
-
-
-
2
occurs
x
1
=
2
=
2
-
-
-
-
-
-
3
-
-
-
-
-
-
-
-
-
3
occurs
x
1
=
3
=
3
-
-
-
-
-
-
-
-
-
4
-
-
-
-
-
-
4
occurs
x
1
=
4
=
4
-
-
-
-
5
-
-
5
-
-
5
-
-
5
-
-
5
occurs
x
4
=
20
2+0
2
6
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
6
SIX
6
-
-
-
-
-
7
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
7
SEVEN
7
-
-
-
-
-
-
-
-
8
-
-
-
-
-
-
-
-
-
-
-
-
8
occurs
x
1
=
8
=
8
-
-
-
-
-
-
-
-
9
-
-
9
-
-
-
-
9
occurs
x
2
=
18
1+8
9
13
11
T
H
E
-
U
N
I
V
E
R
S
E
-
-
32
-
-
11
-
41
-
23
1+3
1+1
-
-
-
-
-
-
9
-
-
9
-
-
-
-
3+2
-
-
1+1
-
4+1
-
2+3
4
2
T
H
E
-
U
N
I
V
E
R
S
E
-
-
5
-
-
2
-
5
-
5
-
-
2
8
5
-
3
5
9
4
5
9
1
5
-
-
-
-
-
-
-
-
-
-
4
2
T
H
E
-
U
N
I
V
E
R
S
E
-
-
5
-
-
2
-
5
-
5

 

 

11
T
H
E
-
U
N
I
V
E
R
S
E
-
-
-
-
-
-
-
-
-
-
-
-
8
-
-
-
5
9
-
-
-
1
-
+
=
23
2+3
=
5
=
5
=
5
-
-
8
-
-
-
14
9
-
-
-
19
-
+
=
50
5+0
=
5
=
5
=
5
11
T
H
E
-
U
N
I
V
E
R
S
E
-
-
-
-
-
-
-
-
-
-
-
2
-
5
-
3
-
-
4
5
9
-
5
+
=
33
3+3
=
6
=
6
=
6
-
20
-
5
-
21
-
-
22
5
18
-
5
+
=
96
9+6
=
15
1+5
6
=
6
11
T
H
E
-
U
N
I
V
E
R
S
E
-
-
-
-
-
-
-
-
-
-
-
20
8
5
-
21
14
9
22
5
18
19
5
+
=
146
1+4+6
=
11
1+1
6
=
5
-
2
8
5
-
3
5
9
4
5
9
1
5
+
=
56
5+6
=
11
=
5
=
5
11
T
H
E
-
U
N
I
V
E
R
S
E
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-`
-
-
-
-
1
-
-
-
1
occurs
x
1
=
1
=
1
-
2
-
-
-
-
-
-
-
-
-
-
-
-
-
2
occurs
x
1
=
2
=
2
-
-
-
-
-
3
-
-
-
-
-
-
-
-
-
3
occurs
x
1
=
3
=
3
-
-
-
-
-
-
-
-
4
-
-
-
-
-
-
4
occurs
x
1
=
4
=
4
-
-
-
5
-
-
5
-
-
5
-
-
5
-
-
5
occurs
x
4
=
20
2+0
2
-
-
8
-
-
-
-
-
-
-
-
-
-
-
-
8
occurs
x
1
=
8
=
8
-
-
-
-
-
-
-
9
-
-
9
-
-
-
-
9
occurs
x
2
=
18
1+8
9
11
T
H
E
-
U
N
I
V
E
R
S
E
-
-
32
-
-
11
-
41
-
23
1+1
-
-
-
-
-
-
9
-
-
9
-
-
-
-
3+2
-
-
1+1
-
4+1
-
2+3
2
T
H
E
-
U
N
I
V
E
R
S
E
-
-
5
-
-
2
-
5
-
5
-
2
8
5
-
3
5
9
4
5
9
1
5
-
-
-
-
-
-
-
-
-
-
2
T
H
E
-
U
N
I
V
E
R
S
E
-
-
5
-
-
2
-
5
-
5

 

 

11
T
H
E
U
N
I
V
E
R
S
E
-
-
-
-
-
-
-
-
-
-
-
-
8
-
-
5
9
-
-
-
1
-
+
=
23
2+3
=
5
=
5
=
5
-
-
8
-
-
14
9
-
-
-
19
-
+
=
50
5+0
=
5
=
5
=
5
11
T
H
E
U
N
I
V
E
R
S
E
-
-
-
-
-
-
-
-
-
-
-
2
-
5
3
-
-
4
5
9
-
5
+
=
33
3+3
=
6
=
6
=
6
-
20
-
5
21
-
-
22
5
18
-
5
+
=
96
9+6
=
15
1+5
6
=
6
11
T
H
E
U
N
I
V
E
R
S
E
-
-
-
-
-
-
-
-
-
-
-
20
8
5
21
14
9
22
5
18
19
5
+
=
146
1+4+6
=
11
1+1
6
=
5
-
2
8
5
3
5
9
4
5
9
1
5
+
=
56
5+6
=
11
=
5
=
5
11
T
H
E
U
N
I
V
E
R
S
E
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-`
-
-
-
-
1
-
-
-
1
occurs
x
1
=
1
=
1
-
2
-
-
-
-
-
-
-
-
-
-
-
-
2
occurs
x
1
=
2
=
2
-
-
-
-
3
-
-
-
-
-
-
-
-
-
3
occurs
x
1
=
3
=
3
-
-
-
-
-
-
-
4
-
-
-
-
-
-
4
occurs
x
1
=
4
=
4
-
-
-
5
-
5
-
-
5
-
-
5
-
-
5
occurs
x
4
=
20
2+0
2
-
-
8
-
-
-
-
-
-
-
-
-
-
-
8
occurs
x
1
=
8
=
8
-
-
-
-
-
-
9
-
-
9
-
-
-
-
9
occurs
x
2
=
18
1+8
9
11
T
H
E
U
N
I
V
E
R
S
E
-
-
32
-
-
11
-
41
-
23
1+1
-
-
-
-
-
9
-
-
9
-
-
-
-
3+2
-
-
1+1
-
4+1
-
2+3
2
T
H
E
U
N
I
V
E
R
S
E
-
-
5
-
-
2
-
5
-
5
-
2
8
5
3
5
9
4
5
9
1
5
-
-
-
-
-
-
-
-
-
-
2
T
H
E
U
N
I
V
E
R
S
E
-
-
5
-
-
2
-
5
-
5

 

-
-
-
-
-
THE SOLAR SYSTEM
-
-
-
T
=
2
-
3
THE
33
15
6
S
=
1
-
5
SOLAR
65
20
2
S
=
1
-
6
SYSTEM
101
20
2
-
-
4
-
14
THE SOLAR SYSTEM
199
55
10
-
-
-
-
1+4
-
1+9+9
5+5
1+0
-
-
5
-
5
THE SOLAR SYSTEM
19
10
1
-
-
-
-
-
-
1+9
1+0
-
-
-
5
-
5
THE SOLAR SYSTEM
10
1
1
-
-
-
-
-
-
1+0
-
-
-
-
5
-
5
THE SOLAR SYSTEM
1
1
1

 

 

-
14
T
H
E
-
S
O
L
A
R
-
S
Y
S
T
E
M
-
-
-
-
-
-
-
-
-
-
-
-
-
8
-
-
1
6
-
-
-
-
1
-
1
-
-
-
+
=
17
1+7
=
8
=
8
=
8
-
-
-
8
-
-
19
15
-
-
-
-
19
-
19
-
-
-
+
=
80
8+0
=
8
=
8
=
8
-
14
T
H
E
-
S
O
L
A
R
-
S
Y
S
T
E
M
-
-
-
-
-
-
-
-
-
-
-
-
2
-
5
-
-
-
3
1
9
-
-
7
-
2
5
4
+
=
38
3+8
=
11
1+1
2
=
2
-
-
20
-
5
-
-
-
12
1
18
-
-
25
-
20
5
13
+
=
119
1+1+9
=
11
1+1
2
=
2
-
14
T
H
E
-
S
O
L
A
R
-
S
Y
S
T
E
M
-
-
-
-
-
-
-
-
-
-
-
-
20
8
5
-
19
15
12
1
18
-
19
25
19
20
5
13
+
=
199
1+9+9
=
19
1+9
10
1+0
1
-
-
2
8
5
-
1
6
3
1
9
-
1
7
1
2
5
4
+
=
55
5+5
=
10
1+0
1
=
1
-
14
T
H
E
-
S
O
L
A
R
-
S
Y
S
T
E
M
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
-
1
-
-
1
-
-
1
-
1
-
-
-
-
-
1
occurs
x
4
=
4
=
4
2
-
2
-
-
-
-
-
-
-
-
-
-
-
-
2
-
-
-
-
2
occurs
x
2
=
4
=
4
3
-
-
-
-
-
-
--
3
-
-
-
-
-
-
-
-
-
-
-
3
occurs
x
1
=
3
=
3
4
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
4
-
-
4
occurs
x
1
=
4
=
4
5
-
-
-
5
-
-
-
-
-
-
-
-
-
-
-
5
-
-
-
5
occurs
x
2
=
10
1+0
1
6
-
-
-
-
-
-
6
-
-
-
-
-
-
-
-
-
-
-
-
6
occurs
x
1
=
6
=
6
7
-
-
-
-
-
-
-
-
-
-
-
-
7
-
-
-
-
-
-
7
occurs
x
1
=
7
=
7
8
-
-
8
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
8
occurs
x
1
=
8
=
8
9
-
-
-
-
-
-
-
-
-
9
-
-
-
-
-
-
-
-
-
9
occurs
x
1
=
9
=
9
45
14
T
H
E
-
S
O
L
A
R
-
S
Y
S
T
E
M
-
-
45
-
-
14
-
55
-
46
4+5
1+4
-
-
-
-
-
-
-
-
9
-
-
-
-
-
-
-
-
-
4+5
-
-
1+4
-
5+5
-
4+6
9
5
T
H
E
-
S
O
L
A
R
-
S
Y
S
T
E
M
-
-
9
-
-
5
-
10
-
10
-
-
2
8
5
-
1
6
3
1
9
-
1
7
1
2
5
4
-
-
-
-
-
-
-
1+0
-
1+0
9
5
T
H
E
-
S
O
L
A
R
-
S
Y
S
T
E
M
-
-
9
-
-
5
-
1
-
1

 

 

-
14
T
H
E
S
O
L
A
R
S
Y
S
T
E
M
-
-
-
-
-
-
-
-
-
-
-
-
-
8
-
1
6
-
-
-
1
-
1
-
-
-
+
=
17
1+7
=
8
=
8
=
8
-
-
-
8
-
19
15
-
-
-
19
-
19
-
-
-
+
=
80
8+0
=
8
=
8
=
8
-
14
T
H
E
S
O
L
A
R
S
Y
S
T
E
M
-
-
-
-
-
-
-
-
-
-
-
-
2
-
5
-
-
3
1
9
-
7
-
2
5
4
+
=
38
3+8
=
11
1+1
2
=
2
-
-
20
-
5
-
-
12
1
18
-
25
-
20
5
13
+
=
119
1+1+9
=
11
1+1
2
=
2
-
14
T
H
E
S
O
L
A
R
S
Y
S
T
E
M
-
-
-
-
-
-
-
-
-
-
-
-
20
8
5
19
15
12
1
18
19
25
19
20
5
13
+
=
199
1+9+9
=
19
1+9
10
1+0
1
-
-
2
8
5
1
6
3
1
9
1
7
1
2
5
4
+
=
55
5+5
=
10
1+0
1
=
1
-
14
T
H
E
S
O
L
A
R
S
Y
S
T
E
M
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
1
-
-
1
-
1
-
1
-
-
-
-
-
1
occurs
x
4
=
4
=
4
2
-
2
-
-
-
-
-
-
-
-
-
-
2
-
-
-
-
2
occurs
x
2
=
4
=
4
3
-
-
-
-
-
--
3
-
-
-
-
-
-
-
-
-
-
3
occurs
x
1
=
3
=
3
4
-
-
-
-
-
-
-
-
-
-
-
-
-
-
4
-
-
4
occurs
x
1
=
4
=
4
5
-
-
-
5
-
-
-
-
-
-
-
-
-
5
-
-
-
5
occurs
x
2
=
10
1+0
1
6
-
-
-
-
-
6
-
-
-
-
-
-
-
-
-
-
-
6
occurs
x
1
=
6
=
6
7
-
-
-
-
-
-
-
-
-
-
7
-
-
-
-
-
-
7
occurs
x
1
=
7
=
7
8
-
-
8
-
-
-
-
-
-
-
-
-
-
-
-
-
-
8
occurs
x
1
=
8
=
8
9
-
-
-
-
-
-
-
-
9
-
-
-
-
-
-
-
-
9
occurs
x
1
=
9
=
9
45
14
T
H
E
S
O
L
A
R
S
Y
S
T
E
M
-
-
45
-
-
14
-
55
-
46
4+5
1+4
-
-
-
-
-
-
-
9
-
-
-
-
-
-
-
-
4+5
-
-
1+4
-
5+5
-
4+6
9
5
T
H
E
S
O
L
A
R
S
Y
S
T
E
M
-
-
9
-
-
5
-
10
-
10
-
-
2
8
5
1
6
3
1
9
1
7
1
2
5
4
-
-
-
-
-
-
-
1+0
-
1+0
9
5
T
H
E
S
O
L
A
R
S
Y
S
T
E
M
-
-
9
-
-
5
-
1
-
1

 

 

-
-
-
-
-
THE CONSTELLATIONS
-
-
-
T
=
2
-
3
THE
33
15
6
C
=
3
-
14
CONSTELLATIONS
65
52
7
-
-
5
-
17
THE CONSTELLATIONS
211
67
13
-
-
-
-
1+7
-
2+1+1
6+7
1+3
-
-
5
-
8
THE CONSTELLATIONS
4
13
4
-
-
-
-
-
-
-
1+3
-
-
-
5
-
8
THE CONSTELLATIONS
4
4
4
-
-
-
-
-
-
-
-
-
-
-
5
-
8
THE CONSTELLATIONS
4
1
4

 

 

-
17
T
H
E
-
C
O
N
S
T
E
L
L
A
T
I
O
N
S
-
-
-
-
-
-
-
-
-
-
-
-
-
8
-
-
-
6
5
1
-
-
-
-
-
-
9
6
5
1
+
=
41
4+1
=
5
=
5
=
5
-
-
-
8
-
-
-
15
14
19
-
-
-
-
-
-
9
15
14
19
+
=
113
1+1+3
=
5
=
5
=
5
-
17
T
H
E
-
C
O
N
S
T
E
L
L
A
T
I
O
N
S
-
-
-
-
-
-
-
-
-
-
-
-
2
-
5
-
3
-
-
-
2
5
3
3
1
2
-
-
-
-
+
=
26
2+6
=
8
=
8
=
8
-
-
20
-
5
-
3
-
-
-
20
5
12
12
1
20
-
-
-
-
+
=
98
9+8
=
17
1+7
8
=
8
-
17
T
H
E
-
C
O
N
S
T
E
L
L
A
T
I
O
N
S
-
-
-
-
-
-
-
-
-
-
-
-
20
8
5
-
3
15
14
19
20
5
12
12
1
20
9
15
14
19
+
=
211
2+1+1
=
4
=
4
=
4
-
-
2
8
5
-
3
6
5
1
2
5
3
3
1
2
9
6
5
1
+
=
67
6+7
=
13
1+3
4
=
4
-
17
T
H
E
-
C
O
N
S
T
E
L
L
A
T
I
O
N
S
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
1
-
-
-
-
1
-
-
1
occurs
x
3
=
3
=
3
-
-
2
-
-
-
-
-
-
-
2
-
-
-
-
2
-
-
-
-
-
-
2
occurs
x
3
=
6
=
6
-
-
-
-
-
-
3
--
-
-
-
-
3
3
-
-
-
--
-
-
-
-
3
occurs
x
3
=
9
=
9
4
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
4
FOUR
4
-
-
-
-
-
-
-
-
-
5
-
-
-
5
-
-
5
-
-
-
-
-
-
5
-
-
-
5
occurs
x
4
=
20
2+0
2
-
-
-
-
-
-
-
6
-
-
-
-
-
-
-
-
-
6
-
-
-
-
6
occurs
x
2
=
12
1+2
3
7
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
7
SEVEN
7
-
-
-
-
-
-
-
-
8
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
8
occurs
x
1
=
8
-
8
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
9
-
-
-
-
-
9
occurs
x
1
=
9
=
9
11
17
T
H
E
-
C
O
N
S
T
E
L
L
A
T
I
O
N
S
-
-
34
-
-
17
-
67
-
40
1+1
1+7
-
-
-
-
-
-
-
-
-
-
-
-
-
-
9
-
-
-
-
-
3+4
-
-
1+7
-
6+7
-
4+0
2
8
T
H
E
-
C
O
N
S
T
E
L
L
A
T
I
O
N
S
-
-
7
-
-
8
-
13
-
4
-
-
2
8
5
-
3
6
5
1
2
5
3
3
1
2
9
6
5
1
-
-
-
-
-
-
-
-
-
-
2
8
T
H
E
-
C
O
N
S
T
E
L
L
A
T
I
O
N
S
-
-
7
-
-
8
-
4
-
4

 

 

17
T
H
E
-
C
O
N
S
T
E
L
L
A
T
I
O
N
S
-
-
-
-
-
-
-
-
-
-
-
-
8
-
-
-
6
5
1
-
-
-
-
-
-
9
6
5
1
+
=
41
4+1
=
5
=
5
=
5
-
-
8
-
-
-
15
14
19
-
-
-
-
-
-
9
15
14
19
+
=
113
1+1+3
=
5
=
5
=
5
17
T
H
E
-
C
O
N
S
T
E
L
L
A
T
I
O
N
S
-
-
-
-
-
-
-
-
-
-
-
2
-
5
-
3
-
-
-
2
5
3
3
1
2
-
-
-
-
+
=
26
2+6
=
8
=
8
=
8
-
20
-
5
-
3
-
-
-
20
5
12
12
1
20
-
-
-
-
+
=
98
9+8
=
17
1+7
8
=
8
17
T
H
E
-
C
O
N
S
T
E
L
L
A
T
I
O
N
S
-
-
-
-
-
-
-
-
-
-
-
20
8
5
-
3
15
14
19
20
5
12
12
1
20
9
15
14
19
+
=
211
2+1+1
=
4
=
4
=
4
-
2
8
5
-
3
6
5
1
2
5
3
3
1
2
9
6
5
1
+
=
67
6+7
=
13
1+3
4
=
4
17
T
H
E
-
C
O
N
S
T
E
L
L
A
T
I
O
N
S
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
1
-
-
-
-
1
-
-
1
occurs
x
3
=
3
=
3
-
2
-
-
-
-
-
-
-
2
-
-
-
-
2
-
-
-
-
-
-
2
occurs
x
3
=
6
=
6
-
-
-
-
-
3
--
-
-
-
-
3
3
-
-
-
--
-
-
-
-
3
occurs
x
3
=
9
=
9
-
-
-
5
-
-
-
5
-
-
5
-
-
-
-
-
-
5
-
-
-
5
occurs
x
4
=
20
2+0
2
-
-
-
-
-
-
6
-
-
-
-
-
-
-
-
-
6
-
-
-
-
6
occurs
x
2
=
12
1+2
3
-
-
8
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
8
occurs
x
1
=
8
-
8
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
9
-
-
-
-
-
9
occurs
x
1
=
9
=
9
17
T
H
E
-
C
O
N
S
T
E
L
L
A
T
I
O
N
S
-
-
34
-
-
17
-
67
-
40
1+7
-
-
-
-
-
-
-
-
-
-
-
-
-
-
9
-
-
-
-
-
3+4
-
-
1+7
-
6+7
-
4+0
8
T
H
E
-
C
O
N
S
T
E
L
L
A
T
I
O
N
S
-
-
7
-
-
8
-
13
-
4
-
2
8
5
-
3
6
5
1
2
5
3
3
1
2
9
6
5
1
-
-
-
-
-
-
-
-
-
-
8
T
H
E
-
C
O
N
S
T
E
L
L
A
T
I
O
N
S
-
-
7
-
-
8
-
4
-
4

 

 

17
T
H
E
C
O
N
S
T
E
L
L
A
T
I
O
N
S
-
-
-
-
-
-
-
-
-
-
-
-
8
-
-
6
5
1
-
-
-
-
-
-
9
6
5
1
+
=
41
4+1
=
5
=
5
=
5
-
-
8
-
-
15
14
19
-
-
-
-
-
-
9
15
14
19
+
=
113
1+1+3
=
5
=
5
=
5
17
T
H
E
C
O
N
S
T
E
L
L
A
T
I
O
N
S
-
-
-
-
-
-
-
-
-
-
-
2
-
5
3
-
-
-
2
5
3
3
1
2
-
-
-
-
+
=
26
2+6
=
8
=
8
=
8
-
20
-
5
3
-
-
-
20
5
12
12
1
20
-
-
-
-
+
=
98
9+8
=
17
1+7
8
=
8
17
T
H
E
C
O
N
S
T
E
L
L
A
T
I
O
N
S
-
-
-
-
-
-
-
-
-
-
-
20
8
5
3
15
14
19
20
5
12
12
1
20
9
15
14
19
+
=
211
2+1+1
=
4
=
4
=
4
-
2
8
5
3
6
5
1
2
5
3
3
1
2
9
6
5
1
+
=
67
6+7
=
13
1+3
4
=
4
17
T
H
E
C
O
N
S
T
E
L
L
A
T
I
O
N
S
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
1
-
-
-
-
1
-
-
1
occurs
x
3
=
3
=
3
-
2
-
-
-
-
-
-
2
-
-
-
-
2
-
-
-
-
-
-
2
occurs
x
3
=
6
=
6
-
-
-
-
3
--
-
-
-
-
3
3
-
-
-
--
-
-
-
-
3
occurs
x
3
=
9
=
9
-
-
-
5
-
-
5
-
-
5
-
-
-
-
-
-
5
-
-
-
5
occurs
x
4
=
20
2+0
2
-
-
-
-
-
6
-
-
-
-
-
-
-
-
-
6
-
-
-
-
6
occurs
x
2
=
12
1+2
3
-
-
8
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
8
occurs
x
1
=
8
-
8
-
-
-
-
-
-
-
-
-
-
-
-
-
-
9
-
-
-
-
-
9
occurs
x
1
=
9
=
9
17
T
H
E
C
O
N
S
T
E
L
L
A
T
I
O
N
S
-
-
34
-
-
17
-
67
-
40
1+7
-
-
-
-
-
-
-
-
-
-
-
-
-
9
-
-
-
-
-
3+4
-
-
1+7
-
6+7
-
4+0
8
T
H
E
C
O
N
S
T
E
L
L
A
T
I
O
N
S
-
-
7
-
-
8
-
13
-
4
-
2
8
5
3
6
5
1
2
5
3
3
1
2
9
6
5
1
-
-
-
-
-
-
-
-
-
-
8
T
H
E
C
O
N
S
T
E
L
L
A
T
I
O
N
S
-
-
7
-
-
8
-
4
-
4

 

 

-
ORION
-
-
-
1
O
15
6
6
1
R
18
9
9
1
I
9
9
9
1
O
15
6
6
1
N
14
5
5
5
ORION
71
35
35
-
-
7+1
3+5
3+5
5
ORION
8
8
8

 

 

5
ORION
71
35
8
-
-
-
-
-
-
-
-
-
-
2
OR
33
15
6
4
IRON
56
29
2
2
IS
28
10
1
-
-
-
-
-
-
-
-
-
-
7
ORIONIS
99
54
9

 

 

5
ORION
71
35
8
-
-
-
-
-
-
-
-
-
-
-
ORIONIS
-
-
-
1
ORI
42
24
6
1
O
15
6
6
1
NIS
42
15
6
7
ORIONIS
99
54
18
-
-
9+9
5+4
1+8
7
ORIONIS
18
9
9
-
-
1+8
-
-
7
ORIONIS
9
9
9

 

 

5
ORION
71
35
8
-
-
-
-
-
-
-
-
-
-
-
ORIONIS
-
-
-
1
O
15
6
6
1
R
18
9
9
1
I
9
9
9
1
O
15
6
6
1
NIS
42
15
6
7
ORIONIS
99
54
36
-
-
9+9
5+4
3+6
7
ORIONIS
18
9
9
-
-
1+8
-
-
7
ORIONIS
9
9
9

 

ORION IS IS ORION

 

5
ORION
71
35
8
-
-
-
-
-
-
-
-
-
-
-
ORIONIS
-
-
-
1
O
15
6
6
1
R
18
9
9
1
I
9
9
9
1
O
15
6
6
1
N
14
5
5
1
I
9
9
9
1
S
19
10
1
7
ORIONIS
99
54
45
-
-
9+9
5+4
4+5
7
ORIONIS
18
9
9
-
-
1+8
-
-
7
ORIONIS
9
9
9

 

ORION IS IS ORION

 

-
23
T
H
E
-
C
O
N
S
T
E
L
L
A
T
I
O
N
-
O
F
-
O
R
I
O
N
-
-
-
-
-
-
-
-
-
-
-
-
-
8
-
-
-
6
5
1
-
-
-
-
-
-
9
6
5
-
6
-
-
6
-
9
6
5
+
=
72
7+2
=
9
=
9
=
9
-
-
-
8
-
-
-
15
14
19
-
-
-
-
-
-
9
15
14
-
15
-
-
15
-
9
15
14
+
=
162
1+6+2
=
9
=
9
=
9
-
23
T
H
E
-
C
O
N
S
T
E
L
L
A
T
I
O
N
-
O
F
-
O
R
I
O
N
-
-
-
-
-
-
-
-
-
-
-
-
2
-
5
-
3
-
-
-
2
5
3
3
1
2
-
-
-
-
-
6
-
-
9
-
-
-
+
=
41
4+1
=
5
=
5
=
5
-
-
20
-
5
-
3
-
-
-
20
5
12
12
1
20
-
-
-
-
-
6
-
-
18
-
-
-
+
=
122
1+2+2
=
5
=
5
=
5
-
23
T
H
E
-
C
O
N
S
T
E
L
L
A
T
I
O
N
-
O
F
-
O
R
I
O
N
-
-
-
-
-
-
-
-
-
-
-
-
20
8
5
-
3
15
14
19
20
5
12
12
1
20
9
15
14
-
15
6
-
15
18
9
15
14
+
=
284
2+8+4
=
9
=
9
=
9
-
-
2
8
5
-
3
6
5
1
2
5
3
3
1
2
9
6
5
-
6
6
-
6
9
9
6
5
+
=
113
1+1+3
=
9
=
9
=
9
-
23
T
H
E
-
C
O
N
S
T
E
L
L
A
T
I
O
N
-
O
F
-
O
R
I
O
N
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
1
-
-
-
-
-
-
-
-
-
3
-
-
-
-
-
1
occurs
x
2
=
2
=
2
-
-
2
-
-
-
-
-
-
-
2
-
-
-
-
2
-
-
-
-
-
-
-
-
3
-
-
-
-
-
2
occurs
x
3
=
6
=
6
-
-
-
-
-
-
3
-
-
-
-
-
3
3
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
3
occurs
x
3
=
9
=
9
4
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
--
-
-
-
-
4
FOUR
4
-
-
-
-
-
-
-
-
-
5
-
-
-
5
-
-
5
-
-
-
-
-
-
5
-
-
-
-
-
-
-
-
5
-
-
5
occurs
x
5
=
25
2+5
7
-
-
-
-
-
-
-
6
-
-
-
-
-
-
-
-
-
6
-
-
6
6
-
6
-
-
6
-
-
-
6
occurs
x
6
=
36
3+6
9
7
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
7
-
-
7
-
-
-
7
SEVEN
7
-
-
-
-
-
-
-
-
8
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
8
occurs
x
1
=
8
-
8
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
9
-
-
-
-
-
-
-
9
9
-
-
-
-
9
occurs
x
3
=
27
1+8
9
11
23
T
H
E
-
C
O
N
S
T
E
L
L
A
T
I
O
N
-
O
F
-
O
R
I
O
N
-
-
34
-
-
23
-
113
-
50
1+1
2+3
-
-
-
-
-
-
-
-
-
-
-
-
-
-
9
-
-
-
-
-
-
-
9
9
-
-
-
-
3+4
-
-
2+3
-
1+1+3
-
5+0
2
5
T
H
E
-
C
O
N
S
T
E
L
L
A
T
I
O
N
-
O
F
-
O
R
I
O
N
-
-
7
-
-
5
-
5
-
5
-
-
2
8
5
-
3
6
5
1
2
5
3
3
1
2
9
6
5
-
6
6
-
6
9
9
6
5
-
-
-
-
-
-
-
-
-
-
2
5
T
H
E
-
C
O
N
S
T
E
L
L
A
T
I
O
N
-
O
F
-
O
R
I
O
N
-
-
7
-
-
5
-
5
-
5

 

 

23
T
H
E
-
C
O
N
S
T
E
L
L
A
T
I
O
N
-
O
F
-
O
R
I
O
N
-
-
-
-
-
-
-
-
-
-
-
-
8
-
-
-
6
5
1
-
-
-
-
-
-
9
6
5
-
6
-
-
6
-
9
6
5
+
=
72
7+2
=
9
=
9
=
9
-
-
8
-
-
-
15
14
19
-
-
-
-
-
-
9
15
14
-
15
-
-
15
-
9
15
14
+
=
162
1+6+2
=
9
=
9
=
9
23
T
H
E
-
C
O
N
S
T
E
L
L
A
T
I
O
N
-
O
F
-
O
R
I
O
N
-
-
-
-
-
-
-
-
-
-
-
2
-
5
-
3
-
-
-
2
5
3
3
1
2
-
-
-
-
-
6
-
-
9
-
-
-
+
=
41
4+1
=
5
=
5
=
5
-
20
-
5
-
3
-
-
-
20
5
12
12
1
20
-
-
-
-
-
6
-
-
18
-
-
-
+
=
122
1+2+2
=
5
=
5
=
5
23
T
H
E
-
C
O
N
S
T
E
L
L
A
T
I
O
N
-
O
F
-
O
R
I
O
N
-
-
-
-
-
-
-
-
-
-
-
20
8
5
-
3
15
14
19
20
5
12
12
1
20
9
15
14
-
15
6
-
15
18
9
15
14
+
=
284
2+8+4
=
9
=
9
=
9
-
2
8
5
-
3
6
5
1
2
5
3
3
1
2
9
6
5
-
6
6
-
6
9
9
6
5
+
=
113
1+1+3
=
9
=
9
=
9
23
T
H
E
-
C
O
N
S
T
E
L
L
A
T
I
O
N
-
O
F
-
O
R
I
O
N
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
1
-
-
-
-
-
-
-
-
-
3
-
-
-
-
-
1
occurs
x
2
=
2
=
2
-
2
-
-
-
-
-
-
-
2
-
-
-
-
2
-
-
-
-
-
-
-
-
3
-
-
-
-
-
2
occurs
x
3
=
6
=
6
-
-
-
-
-
3
--
-
-
-
-
3
3
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
3
occurs
x
3
=
9
=
9
-
-
-
5
-
-
-
5
-
-
5
-
-
-
-
-
-
5
-
-
-
-
-
-
-
-
5
-
-
5
occurs
x
5
=
25
2+5
7
-
-
-
-
-
-
6
-
-
-
-
-
-
-
-
-
6
-
-
6
6
-
6
-
-
6
-
-
-
6
occurs
x
6
=
36
3+6
9
-
-
8
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
8
occurs
x
1
=
8
-
8
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
9
-
-
-
-
-
-
-
9
9
-
-
-
-
9
occurs
x
3
=
27
1+8
9
23
T
H
E
-
C
O
N
S
T
E
L
L
A
T
I
O
N
-
O
F
-
O
R
I
O
N
-
-
34
-
-
23
-
113
-
50
2+3
-
-
-
-
-
-
-
-
-
-
-
-
-
-
9
-
-
-
-
-
-
-
9
9
-
-
-
-
3+4
-
-
2+3
-
1+1+3
-
5+0
5
T
H
E
-
C
O
N
S
T
E
L
L
A
T
I
O
N
-
O
F
-
O
R
I
O
N
-
-
7
-
-
5
-
5
-
5
-
2
8
5
-
3
6
5
1
2
5
3
3
1
2
9
6
5
-
6
6
-
6
9
9
6
5
-
-
-
-
-
-
-
-
-
-
5
T
H
E
-
C
O
N
S
T
E
L
L
A
T
I
O
N
-
O
F
-
O
R
I
O
N
-
-
7
-
-
5
-
5
-
5

 

 

23
T
H
E
C
O
N
S
T
E
L
L
A
T
I
O
N
O
F
O
R
I
O
N
-
-
-
-
-
-
-
-
-
-
-
-
8
-
-
6
5
1
-
-
-
-
-
-
9
6
5
6
-
6
-
9
6
5
+
=
72
7+2
=
9
=
9
=
9
-
-
8
-
-
15
14
19
-
-
-
-
-
-
9
15
14
15
-
15
-
9
15
14
+
=
162
1+6+2
=
9
=
9
=
9
23
T
H
E
C
O
N
S
T
E
L
L
A
T
I
O
N
O
F
O
R
I
O
N
-
-
-
-
-
-
-
-
-
-
-
2
-
5
3
-
-
-
2
5
3
3
1
2
-
-
-
-
6
-
9
-
-
-
+
=
41
4+1
=
5
=
5
=
5
-
20
-
5
3
-
-
-
20
5
12
12
1
20
-
-
-
-
6
-
18
-
-
-
+
=
122
1+2+2
=
5
=
5
=
5
23
T
H
E
C
O
N
S
T
E
L
L
A
T
I
O
N
O
F
O
R
I
O
N
-
-
-
-
-
-
-
-
-
-
-
20
8
5
3
15
14
19
20
5
12
12
1
20
9
15
14
15
6
15
18
9
15
14
+
=
284
2+8+4
=
9
=
9
=
9
-
2
8
5
3
6
5
1
2
5
3
3
1
2
9
6
5
6
6
6
9
9
6
5
+
=
113
1+1+3
=
9
=
9
=
9
23
T
H
E
C
O
N
S
T
E
L
L
A
T
I
O
N
O
F
O
R
I
O
N
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
1
-
-
-
-
-
-
-
3
-
-
-
-
-
1
occurs
x
2
=
2
=
2
-
2
-
-
-
-
-
-
2
-
-
-
-
2
-
-
-
-
-
-
3
-
-
-
-
-
2
occurs
x
3
=
6
=
6
-
-
-
-
3
-
-
-
-
-
3
3
-
-
-
-
-
-
-
-
-
-
-
-
-
-
3
occurs
x
3
=
9
=
9
-
-
-
5
-
-
5
-
-
5
-
-
-
-
-
-
5
-
-
-
-
-
-
5
-
-
5
occurs
x
5
=
25
2+5
7
-
-
-
-
-
6
-
-
-
-
-
-
-
-
-
6
-
6
6
6
-
-
6
-
-
-
6
occurs
x
6
=
36
3+6
9
-
-
8
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
8
occurs
x
1
=
8
-
8
-
-
-
-
-
-
-
-
-
-
-
-
-
-
9
-
-
-
-
-
9
9
-
-
-
-
9
occurs
x
3
=
27
1+8
9
23
T
H
E
C
O
N
S
T
E
L
L
A
T
I
O
N
O
F
O
R
I
O
N
-
-
34
-
-
23
-
113
-
50
2+3
-
-
-
-
-
-
-
-
-
-
-
-
-
9
-
-
-
-
-
9
9
-
-
-
-
3+4
-
-
2+3
-
1+1+3
-
5+0
5
T
H
E
C
O
N
S
T
E
L
L
A
T
I
O
N
O
F
O
R
I
O
N
-
-
7
-
-
5
-
5
-
5
-
2
8
5
3
6
5
1
2
5
3
3
1
2
9
6
5
6
6
6
9
9
6
5
-
-
-
-
-
-
-
-
-
-
5
T
H
E
C
O
N
S
T
E
L
L
A
T
I
O
N
O
F
O
R
I
O
N
-
-
7
-
-
5
-
5
-
5

 

 

the Alpha star of Orion we have to say “Alpha Orionis”, meaning “Alpha of Orion” – “Orionis” be-ing the genitive of Orion. Likewise, Eta of Carina is “Eta ... www.pretoria-astronomy.co.za/pdf/newsletters_august_2008

"If we want to talk about the Alpha star of Orion we have to say “Alpha Orionis”, meaning “Alpha of Orion” – “Orionis” being
the genitive of Orion."

 

[as genitive] (O·ri·o·nis / ˌôrēˈōnis/ ) used with a preceding letter or numeral to ... Orion is outlined by the prominent stars Betelgeuse (Alpha Orionis. ... www.encyclopedia.com/doc/1O999-orion.html

O·ri·on / əˈrīən/ 1. Greek Mythol. a giant and hunter who was changed into a constellation at his death. 2. Astron. a conspicuous constellation (the Hunter), said to represent a hunter holding a club and shield. It lies on the celestial equator and contains many bright stars, including Rigel, Betelgeuse, and a line of three that form Orion's belt. ∎  [as genitive] (O·ri·o·nis / ˌôrēˈōnis/ ) used with a preceding letter or numeral to designate a star in this constellation: the multiple star Theta Orionis.

 

 

                         

 

 5

ALPHA

 38

 

 20 = 2 ORIONIS 99   45   9

 

 4

BETA

 28

 

 10 = 1 ORIONIS 99   45   9

 

 5

GAMMA

 35

 

 17 = 8 ORIONIS 99   45   9

 

 5

DELTA

 42

 

 15 = 6 ORIONIS 99   45   9

 

 7

EPSILON

 90

 

 36 = 9 ORIONIS 99   45   9

 

 4

ZETA

 52

 

 16 = 7 ORIONIS 99   45   9

 

 3

ETA

 26

 

 8 = 8 ORIONIS 99   45   9

 

 5

THETA

 54

 

 18 = 9 ORIONIS 99   45   9

 

 4

IOTA

 45

 

 18 = 9 ORIONIS 99   45   9

 

 5

KAPPA

 45

 

 18 = 9 ORIONIS 99   45   9

 

 6

LAMBDA

 33

 

 15 = 6 ORIONIS 99   45   9

 

 2

MU

 34

 

 7 = 7 ORIONIS 99   45   9

 

 2

NU

 35

 

 8 = 8 ORIONIS 99   45   9

 

 2

XI

 33

 

 15 = 6 ORIONIS 99   45   9

 

 7

OMICRON

 87

 

 42 = 6 ORIONIS 99   45   9

 

 2

PI

 25

 

 16 = 7 ORIONIS 99   45   9

 

 3

RHO

 41

 

 23 = 5 ORIONIS 99   45   9

 

 5

SIGMA

 49

 

 22 = 4 ORIONIS 99   45   9

 

 

 

 

 

 

 

            

 

 

 

 

 792

 

 

 

            

 

 

RANKING STARS IN A CONSTELLATION

Or, for constellations not ending in "-us," add "-is" (e.g., Orion becomes Orionis). For your convenience, the genitive case is indicated at the top of the ... homepage.mac.com/kvmagruder/bcp/aster/constellations/alpha.htm

"Lift your eyes and look to the heavens: Who created all these?
He who brings out the starry host one by one, and calls them each by name.
Because of his great power and mighty strength, not one of them is missing."
Isaiah 40:25

Stars within a given constellation are usually ranked according to relative brightness by the Greek alphabet. The brightest star is alpha, the second-brightest beta, the third-brightest gamma, and so forth. There are some exceptions, when an especially common constellation (such as Ursa Major or Crux) is numbered according to its linear sequence, like a dot-to-dot diagram.

Star names have two parts; the first is the Greek letter indicating its brightness. The second part of a star name indicates its constellation. To obtain this constellation part of the star name, the letter of the Greek alphabet which indicates a star's brightness is conjoined with the Latin genitive case of the name of the constellation. For example, the brightest star of the constellation Centaurus is "alpha-Centauri," which happens to be the star nearest to our own Sun (though it is actually a multiple star system). "Centauri" is the Latin genitive case of "Centaurus." In general, the genitive case is obtained by changing the suffix "-us" to "-i," (e.g., Taurus becomes Tauri). Or, for constellations not ending in "-us," add "-is" (e.g., Orion becomes Orionis).

As to why it's Orionis rather than Orion, etc.—these are just the genitive (possessive) cases of the Latin names/words for the constellations. ... www.astro.cornell.edu/research/projects/CAS/faq.html

Cornell Astronomical Society

7) What do these names like "Delta Orionis" mean? Why is it "Orionis" and not "Orion?"

Some stars have their own proper names, like Rigel (in Orion), Vega (in Lyra), or Polaris (in Ursa Minor). These are either prominent, bright stars, or they occupy particular places in the constellations. (For example, two fun star names are Zubenelgenubi and Zubeneschamali, Arabic names meaning "The Southern Claw" and "The Northern Claw," respectively; the stars are in Libra, the Balance. Libra used to be part of Scorpius, the Scorpion; these stars were its two claws.)

Most stars, however, don't have special names. For those such stars visible to the eye, we use a system developed by Johann Bayer in the 17th century. He ranked stars in constellations in order from brightest to dimmest, using letters of the Greek alphabet: Alpha is the brightest star of a constellation, Beta the second brightest, etc. When the Greek alphabet has been exhausted, numbers are used. This latter system was devised by the 17th century British astronomer John Flamsteed, who assigned numbers even to stars that Bayer had given letter designations; most people only use the Flamsteed numbers for stars that do not have proper names or Greek letters.

As to why it's Orionis rather than Orion, etc.—these are just the genitive (possessive) cases of the Latin names/words for the constellations. Thus, "Delta Orionis" is "4th brightest star of the constellation Orion." While you need to learn Latin for the details (and it's very useful to know Latin, so you should consider it!), for nearly all the constellations the rules are: 1) if the name ends in "a" (Lyra, Andromeda,...), the genitive will end in "ae" (Lyrae, Andromedae,...); 2) if the name ends in "us" or "um" (Cygnus, Cepheus, Scutum,...), the genitive will end in "i" (Cygni, Cephei, Scuti,...); 3) anything else (Orion, Virgo,...) is likely a "3rd declension noun," which indicates a sort of kitchen-sink situation re whether/how the base portion of the noun changes—simple answer is, memorize the genitive versions.

 

9 Jun 2008 ... is designated R followed by the genitive of the constellation name (eg. ... At maximum light, FU Orionis stars are of spectral type A - G after which the spectral ... For more information, see: Orion variable stars ...
en.citizendium.org/wiki/Variable_star

 

Variable star - encyclopedia - Citezendium

FU Orionis stars

Named after the prototype of this class, FU Orionis (GCVS code: FU), these stars are characterized by a slow outburst in which the brightness of the star increases up to 6 magnitudes over a number of months and stays at maximum brightness for up to several years after which a slow decline sets in that dims the star by a couple of magnitudes. During an outburst the spectral type of the stars can change significantly and an emission spectrum develops as well. At maximum light, FU Orionis stars are of spectral type A - G after which the spectral type becomes later. All FU Orionis stars are associated with reflecting nebulae.[2][3]

FU Orionis stars are pre-main sequence stars somewhat similar to T Tauri stars. The prototype was first discovered in 1939 by A. Wachmann when the star increased some 100-fold in brightness. FU Orionis was studied in depth by George Herbig in the 1960s and 1970s.[2] There are some 10 stars known of this type.

 

ORION IS IS ORION

 

-
7
O
R
I
O
N
I
S
-
-
-
-
-
-
-
-
-
-
-
-
6
-
9
6
5
9
1
+
=
36
3+6
=
9
=
9
-
9
-
-
15
-
9
15
14
9
19
+
=
81
8+1
=
9
=
9
-
9
-
7
O
R
I
O
N
I
S
-
-
-
-
-
-
-
-
-
-
-
-
-
9
-
-
-
-
-
+
=
9
-
=
9
=
9
-
9
-
-
-
18
-
-
-
-
-
+
=
18
1+8
=
9
=
9
-
9
-
7
O
R
I
O
N
I
S
-
-
-
-
-
-
-
-
-
-
-
-
15
18
9
15
14
9
19
+
=
99
9+9
=
18
1+8
9
-
9
-
-
6
9
9
6
5
9
1
+
=
45
4+5
=
9
=
9
-
9
-
7
O
R
I
O
N
I
S
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
1
occurs
x
1
=
1
=
1
2
-
-
3
-
-
-
-
-
-
-
2
TWO
2
-
-
-
-
-
3
-
-
3
-
-
-
-
-
-
-
3
THREE
3
-
-
-
-
-
4
-
-
-
-
-
-
-
-
-
-
4
FOUR
4
-
-
-
-
-
-
-
-
-
-
-
5
-
-
-
-
5
occurs
x
1
=
5
-
5
-
-
6
-
-
6
-
-
-
-
-
6
occurs
x
2
=
12
1+2
3
7
-
7
-
-
7
-
-
-
-
-
7
SEVEN
7
-
-
-
-
-
8
-
-
-
-
-
-
-
-
-
-
8
EIGHT
8
-
-
-
-
-
-
-
-
9
9
-
-
9
-
-
-
9
occurs
x
3
=
27
2+7
9
24
7
O
R
I
O
N
I
S
-
-
21
-
-
7
-
45
-
18
2+4
-
-
9
9
-
-
9
-
-
-
2+1
-
-
-
-
4+5
-
1+8
6
7
O
R
I
O
N
I
S
-
-
3
-
-
7
-
9
-
9
-
-
6
9
9
6
5
9
1
-
-
-
-
-
-
-
-
-
-
6
7
O
R
I
O
N
I
S
-
-
3
-
-
7
-
9
-
9

 

 

7
O
R
I
O
N
I
S
-
-
-
-
-
-
-
-
-
-
-
6
-
9
6
5
9
1
+
=
36
3+6
=
9
=
9
-
9
-
15
-
9
15
14
9
19
+
=
81
8+1
=
9
=
9
-
9
7
O
R
I
O
N
I
S
-
-
-
-
-
-
-
-
-
-
-
-
9
-
-
-
-
-
+
=
9
-
=
9
=
9
-
9
-
-
18
-
-
-
-
-
+
=
18
1+8
=
9
=
9
-
9
7
O
R
I
O
N
I
S
-
-
-
-
-
-
-
-
-
-
-
15
18
9
15
14
9
19
+
=
99
9+9
=
18
1+8
9
-
9
-
6
9
9
6
5
9
1
+
=
45
4+5
=
9
=
9
-
9
7
O
R
I
O
N
I
S
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
1
occurs
x
1
=
1
=
1
-
-
-
-
-
5
-
-
-
-
5
occurs
x
1
=
5
-
5
-
6
-
-
6
-
-
-
-
-
6
occurs
x
2
=
12
1+2
3
-
-
9
9
-
-
9
-
-
-
9
occurs
x
3
=
27
2+7
9
7
O
R
I
O
N
I
S
-
-
21
-
-
7
-
45
-
18
-
-
9
9
-
-
9
-
-
-
2+1
-
-
-
-
4+5
-
1+8
7
O
R
I
O
N
I
S
-
-
3
-
-
7
-
9
-
9
-
6
9
9
6
5
9
1
-
-
-
-
-
-
-
-
-
-
7
O
R
I
O
N
I
S
-
-
3
-
-
7
-
9
-
9

 

 

5
ORION
71
35
8
-
-
-
-
-
-
-
-
-
-
2
OR
33
15
6
4
IRON
56
29
2
2
IS
28
10
1
-
-
-
-
-
-
-
-
-
-
7
ORIONIS
99
54
9

 

 

5
ORION
71
35
8
-
-
-
-
-
-
-
-
-
-
-
ORIONIS
-
-
-
1
ORI
42
24
6
1
O
15
6
6
1
NIS
42
15
6
7
ORIONIS
99
54
18
-
-
9+9
5+4
1+8
7
ORIONIS
18
9
9
-
-
1+8
-
-
7
ORIONIS
9
9
9

 

 

5
ORION
71
35
8
-
-
-
-
-
-
-
-
-
-
-
ORIONIS
-
-
-
1
O
15
6
6
1
R
18
9
9
1
I
9
9
9
1
O
15
6
6
1
NIS
42
15
6
7
ORIONIS
99
54
36
-
-
9+9
5+4
3+6
7
ORIONIS
18
9
9
-
-
1+8
-
-
7
ORIONIS
9
9
9

 

ORION IS IS ORION

 

5
ORION
71
35
8
-
-
-
-
-
-
-
-
-
-
-
ORIONIS
-
-
-
1
O
15
6
6
1
R
18
9
9
1
I
9
9
9
1
O
15
6
6
1
N
14
5
5
1
I
9
9
9
1
S
19
10
1
7
ORIONIS
99
54
45
-
-
9+9
5+4
4+5
7
ORIONIS
18
9
9
-
-
1+8
-
-
7
ORIONIS
9
9
9

 

 

-
-
-
-
-
ORIONIS
-
-
-
-
1
2
3
4
5
6
7
8
9
O
=
6
1
1
O
15
6
6
-
-
-
-
-
-
6
-
-
-
R
=
9
2
1
R
18
9
9
-
-
-
-
-
-
-
-
-
9
I
=
9
3
1
I
9
9
9
-
-
-
-
-
-
-
-
-
9
O
=
6
4
1
O
15
6
6
-
-
-
-
-
-
6
-
-
-
N
=
5
5
1
N
14
5
5
-
-
-
-
-
5
-
-
-
-
I
=
9
6
1
I
9
9
9
-
-
-
-
-
-
-
-
-
9
S
=
1
7
1
S
19
10
1
-
-
-
-
-
-
-
-
-
-
-
-
45
-
7
ORIONIS
99
54
45
-
1
2
3
4
5
12
7
8
27
-
-
4+5
-
-
-
9+9
5+4
4+5
-
-
-
-
-
-
1+2
-
-
2+7
-
-
9
-
7
ORIONIS
18
9
9
-
-
2
3
4
5
3
7
8
9
-
-
-
-
-
-
1+8
-
-
-
-
-
-
-
-
-
-
-
-
-
-
9
-
7
ORIONIS
9
9
9
-
1
2
3
4
5
3
7
8
9

 

 

-
-
-
-
-
ORIONIS
-
-
-
-
1
2
3
4
5
6
7
8
9
O
=
6
1
1
O
15
6
6
-
-
2
3
4
-
6
7
8
-
R
=
9
2
1
R
18
9
9
-
-
2
3
4
-
-
7
8
9
I
=
9
3
1
I
9
9
9
-
-
2
3
4
-
-
7
8
9
O
=
6
4
1
O
15
6
6
-
-
2
3
4
-
6
7
8
-
N
=
5
5
1
N
14
5
5
-
-
2
3
4
5
-
7
8
-
I
=
9
6
1
I
9
9
9
-
-
2
3
4
-
-
7
8
9
S
=
1
7
1
S
19
10
1
-
1
2
3
4
-
-
7
8
-
-
-
45
-
7
ORIONIS
99
54
45
-
1
2
3
4
-
12
7
8
27
-
-
4+5
-
-
-
9+9
5+4
4+5
-
-
-
-
-
-
1+2
-
-
2+7
-
-
9
-
7
ORIONIS
18
9
9
-
-
2
3
4
-
3
7
8
9
-
-
-
-
-
-
1+8
-
-
-
-
-
-
-
-
-
-
-
-
-
-
9
-
7
ORIONIS
9
9
9
-
1
2
3
4
5
3
7
8
9

 

LETTERS TRANSPOSED INTO NUMBER REARRANGED IN NUMERICAL ORDER

 

-
-
-
-
-
ORIONIS
-
-
-
-
1
2
3
4
5
6
7
8
9
S
=
1
7
1
S
19
10
1
-
1
2
3
4
-
-
7
8
-
N
=
5
5
1
N
14
5
5
-
-
2
3
4
5
-
7
8
-
O
=
6
1
1
O
15
6
6
-
-
2
3
4
-
6
7
8
-
O
=
6
4
1
O
15
6
6
-
-
2
3
4
-
6
7
8
-
R
=
9
2
1
R
18
9
9
-
-
2
3
4
-
-
7
8
9
I
=
9
3
1
I
9
9
9
-
-
2
3
4
-
-
7
8
9
I
=
9
6
1
I
9
9
9
-
-
2
3
4
-
-
7
8
9
-
-
45
-
7
ORIONIS
99
54
45
-
1
2
3
4
5
12
7
8
27
-
-
4+5
-
-
-
9+9
5+4
4+5
-
-
-
-
-
-
1+2
-
-
2+7
-
-
9
-
7
ORIONIS
18
9
9
-
1
2
3
4
5
3
7
8
9
-
-
-
-
-
-
1+8
-
-
-
-
-
-
-
-
-
-
-
-
-
-
9
-
7
ORIONIS
9
9
9
-
1
2
3
4
5
3
7
8
9

 

LETTERS TRANSPOSED INTO NUMBER REARRANGED IN NUMERICAL ORDER

 

-
-
-
-
-
ORIONIS
-
-
-
-
1
5
6
9
S
=
1
7
1
S
19
10
1
-
1
-
-
-
N
=
5
5
1
N
14
5
5
-
-
5
-
-
O
=
6
1
1
O
15
6
6
-
-
-
6
-
O
=
6
4
1
O
15
6
6
-
-
-
6
-
R
=
9
2
1
R
18
9
9
-
-
-
-
9
I
=
9
3
1
I
9
9
9
-
-
-
-
9
I
=
9
6
1
I
9
9
9
-
-
-
-
9
-
-
45
-
7
ORIONIS
99
54
45
-
1
-
12
27
-
-
4+5
-
-
-
9+9
5+4
4+5
-
-
-
1+2
2+7
-
-
9
-
7
ORIONIS
18
9
9
-
-
-
3
9
-
-
-
-
-
-
1+8
-
-
-
-
-
-
-
-
-
9
-
7
ORIONIS
9
9
9
-
1
5
3
9

 

ORION IS IS ORION

 

 

ORIONIS

ORIONIS OSIRION ORIONIS

OSIREION

 

 

Osireion - Wikipedia, the free encyclopedia

en.wikipedia.org/wiki/Osireion

The Osirion or Osireon is located at Abydos at the rear of the temple of Seti I. It is an integral part of Seti I's funeral complex and is built to resemble an 18th ...

From Wikipedia, the free encyclopedia

The Osirion at the rear of the temple of Seti I at Abydos, the underground entry to the Osireion is at the top of the picture, see image below
The Osirion or Osireon is located at Abydos at the rear of the temple of Seti I. It is an integral part of Seti I's funeral complex and is built to resemble an 18th Dynasty Valley of the Kings tomb. [1] It was discovered by archaeologists Flinders Petrie and Margaret Murray who were excavating the site in 1902-3. The Osirion was originally built at a considerably lower level than the foundations of the temple of Seti, who ruled from 1294 - 1279 BC [2]. While there is disagreement as to its true age, despite the fact that it is situated at a lower depth than the structures nearby, that it features a very different architectural approach, and that it is frequently flooded with water which would have made carving it impossible had the water level been the same at the time of construction, Peter Brand says it "can be dated confidently to Seti's reign."[3]

 

-
OSIREION
-
-
-
1
O
15
6
6
1
S
19
10
1
1
I
9
9
9
1
R
18
9
9
1
E
5
5
5
1
I
9
9
9
1
O
15
6
6
1
N
14
5
5
8
OSIREION
104
59
50
-
-
1+0+4
5+9
4+5
8
OSIREION
5
14
9
-
-
-
1+4
-
8
OSIREION
5
5
9

 

 

-
OSIREION
-
-
-
2
S+O
25
16
7
1
I
9
9
9
1
R
18
9
9
1
E
5
5
5
1
I
9
9
9
2
O+N
29
11
2
8
OSIREION
104
59
50
-
-
1+0+4
5+9
4+5
8
OSIREION
5
14
9
-
-
-
1+4
-
8
OSIREION
5
5
9

 

 

-
OSIREION
-
-
-
4
O+S+I+R
61
25
7
4
E+I+O+N
43
25
7
8
OSIREION
104
50
14
-
-
1+0+4
5+0
1+4
8
OSIREION
5
5
5

 

 

-
OSIRION
-
-
-
1
O
15
6
6
1
S
19
10
1
1
I
9
9
9
1
R
18
9
9
1
I
9
9
9
1
O
15
6
6
1
N
14
5
5
7
OSIRION
99
54
45
-
-
9+9
5+4
4+5
7
OSIRION
18
9
9
-
-
1+8
-
-
7
OSIRION
9
9
9

 

 

-
OSIRION
-
-
-
2
S+O
34
16
7
1
I
9
9
9
1
R
18
9
9
1
I
9
9
9
2
O+N
29
11
2
7
OSIRION
99
54
45
-
-
9+9
5+4
4+5
7
OSIRION
18
9
9
-
-
1+8
-
-
7
OSIRION
9
9
9

 

 

O
=
6
-
8
OSIREION
104
50
5
O
=
6
-
7
OSIRION
99
54
9
-
-
3
-
6
-
203
104
14
-
-
1+2
-
1+5
-
2+0+3
1+1+3
9+5
-
-
3
-
6
-
5
5
14
-
-
-
-
-
-
1+8
-
-
-
-
3
-
6
-
9
9
9

 

 

Osireion - Wikipedia, the free encyclopedia

en.wikipedia.org/wiki/Osireion

The Osirion or Osireon is located at Abydos at the rear of the temple of Seti I. It is an integral part of Seti I's funeral complex and is built to resemble an 18th ...

From Wikipedia, the free encyclopedia

The Osirion at the rear of the temple of Seti I at Abydos, the underground entry to the Osireion is at the top of the picture, see (image omitted) below

The Osirion or Osireon is located at Abydos at the rear of the temple of Seti I. It is an integral part of Seti I's funeral complex and is built to resemble an 18th Dynasty Valley of the Kings tomb. [1] It was discovered by archaeologists Flinders Petrie and Margaret Murray who were excavating the site in 1902-3. The Osirion was originally built at a considerably lower level than the foundations of the temple of Seti, who ruled from 1294 - 1279 BC [2]. While there is disagreement as to its true age, despite the fact that it is situated at a lower depth than the structures nearby, that it features a very different architectural approach, and that it is frequently flooded with water which would have made carving it impossible had the water level been the same at the time of construction, Peter Brand says it "can be dated confidently to Seti's reign."[3]

 

-
OSIRION
-
-
-
1
O
15
6
6
1
S
19
10
1
1
I
9
9
9
1
R
18
9
9
1
I
9
9
9
1
O
15
6
6
1
N
14
5
5
7
OSIRION
99
54
45
-
-
9+9
5+4
4+5
7
OSIRION
18
9
9
-
-
1+8
-
-
7
OSIRION
9
9
9

 

OSIRION

 

-
7
O
S
I
R
I
O
N
-
-
-
-
-
--
-
-
-
-
-
-
6
1
9
-
9
6
5
+
=
36
3+6
=
9
=
9
=
9
-
-
15
19
9
-
9
15
14
+
=
81
8+1
=
9
=
9
=
9
-
7
O
S
I
R
I
O
N
-
-
-
-
-
--
-
-
-
-
-
-
-
-
-
9
-
-
-
+
=
9
-
=
9
=
9
=
9
-
-
-
-
-
18
-
-
-
+
=
18
1+8
=
9
=
9
=
9
-
7
O
S
I
R
I
O
N
-
-
-
-
-
--
-
-
-
-
-
-
15
19
9
18
9
15
14
+
=
99
9+9
=
9
1+8
9
=
9
-
-
6
1
9
9
9
6
5
+
=
45
4+5
=
9
=
9
=
9
-
7
O
S
I
R
I
O
N
-
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
-
-
-
1
occurs
x
1
=
1
=
1
2
-
-
-
-
-
-
-
-
-
-
2
TWO
2
-
-
-
-
-
3
-
--
-
-
-
-
--
-
-
-
3
THREE
3
-
-
-
-
-
4
-
--
-
-
-
-
--
-
-
-
4
FOUR
4
-
-
-
-
-
-
--
--
-
-
-
-
--
5
-
-
5
occurs
x
1
=
5
=
5
-
-
6
-
-
-
-
6
-
-
-
6
occurs
x
2
=
12
1+2
3
7
-
--
-
-
-
-
--
-
-
-
7
SEVEN
7
-
-
-
-
-
8
-
-
-
-
-
-
-
-
-
-
8
EIGHT
8
-
-
-
-
-
-
-
-
-
9
9
9
-
-
-
-
9
occurs
x
3
=
27
2+7
9
24
7
O
S
I
R
I
O
N
-
-
21
-``
-
7
-
45
-
18
2+4
-
-
-
9
9
9
-
-
-
-
2+1
-
-
-
-
4+5
-
1+8
6
7
O
S
I
R
I
O
N
-
-
3
-``
-
7
-
9
-
9
-
-
6
1
9
9
9
6
5
-
-``
-
-
-
-
-
-
-
-
6
7
O
S
I
R
I
O
N
-
-
3
-``
-
7
-
9
-
9

 

 

7
O
S
I
R
I
O
N
-
-
-
-
-
--
-
-
-
-
-
6
1
9
-
9
6
5
+
=
36
3+6
=
9
=
9
=
9
-
15
19
9
-
9
15
14
+
=
81
8+1
=
9
=
9
=
9
7
O
S
I
R
I
O
N
-
-
-
-
-
--
-
-
-
-
-
-
-
-
9
-
-
-
+
=
9
-
=
9
=
9
=
9
-
-
-
-
18
-
-
-
+
=
18
1+8
=
9
=
9
=
9
7
O
S
I
R
I
O
N
-
-
-
-
-
--
-
-
-
-
-
15
19
9
18
9
15
14
+
=
99
9+9
=
9
1+8
9
=
9
-
6
1
9
9
9
6
5
+
=
45
4+5
=
9
=
9
=
9
7
O
S
I
R
I
O
N
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
-
-
-
1
occurs
x
1
=
1
=
1
--
--
-
-
-
-
--
5
-
-
5
occurs
x
1
=
5
=
5
-
6
-
-
-
-
6
-
-
-
6
occurs
x
2
=
12
1+2
3
-
-
-
9
9
9
-
-
-
-
9
occurs
x
3
=
27
2+7
9
7
O
S
I
R
I
O
N
-
-
21
-``
-
7
-
45
-
18
-
-
-
9
9
9
-
-
-
-
2+1
-
-
-
-
4+5
-
1+8
7
O
S
I
R
I
O
N
-
-
3
-``
-
7
-
9
-
9
-
6
1
9
9
9
6
5
-
-``
-
-
-
-
-
-
-
-
7
O
S
I
R
I
O
N
-
-
3
-``
-
7
-
9
-
9

 

 

ORION OSIRIS SIRIUS IRIS ISIS ISIS IRIS SIRIUS OSIRIS ORION

69965 619991 199931 9991 9191 9191 9991 199931 619991 69965

ORION OSIRIS SIRIUS IRIS ISIS ISIS IRIS SIRIUS OSIRIS ORION

 

 

Daily Mail

Monday February 23, 2009

ANSWERS TO CORRESPONDENTS

Compiled by Charles Legge

Page 57

QUESTION Are the three stars that make up Orion's belt a similar distance from the Earth or do they just appear that way?

ORION, the giant huntsman of Greek mythology whom Zeus placed among the stars as the constellation, has three stars of apparently similar brightness and colour (bluish-white) in his belt, given the Arabic names (from left to right) Alnitak, Alnilam and Mintaka.

In fact, Alnitak is 800 light years away from us, Alnilam 1,300 light years and Mintaka 900 light years. They appear in a straight line only in our line of sight.
Despite this, the three stars appear to be closely associated. Each is a luminous, hot supergiant having luminosities at least 100,000 times that of the Sun, and surface temperatures exceeding 25,000c (our Sun is 5,500c).

It's believed the three stars, and several other equally hot and luminous stars in the constellation Orion, were formed together as a close cluster. The passage of time has seen them drift apart.

Such luminous stars use up hydrogen at a prodigious rate so they're only a few million years old and have no more than a few million years to live before blowing themselves up in a supernova explosion.

These timescales are short in astronomical terms. Our Sun, with its far lower luminosity and lower fuel consumption, has shone for five billion years and is expected to shine steadily for the same amount of time before it, too, dies, in a much more sedate fashion than a supernova explosion.

The five billion years that our Sun has been around has meant that life has had time to develop on one of its planets — Earth.
It seems most unlikely that any hypopthetical planet around a star in Orion's belt could have developed sort of life when the history of the star, from birth to death, is only a few million years.

Norman Wallace, Sutton Coldfield, W Mids.

 

 

HERA HERE HER RHEA RATHER RHEA RATHER RHEA HER HERE HERA

ZEUS SEE US I ME YOU SEE ZEUS ME I ME ZEUS SEE YOU ME I US SEE ZEUS

 

 

A

STAR LIGHT STAR

STORY

A

STARRY RIDE A RIDE STARRY

I AM ALL STARRY STARRY EYED AM I ME I AM ALL STARRY STARRY EYED AM I

I AM ALL STARRY STARRY I'D AM I ME I AM ALL STARRY STARRY I'D AM I

I AM ALL STARRY STARRY IDEA AM I ME I AM ALL STARRY STARRY IDEA AM I

I AM ALL STARRY STARRY LIGHT AM I ME I AM ALL STARRY STARRY LIGHT AM I

A

STAR STARE STAR

HELLO SAY I ME I SAY HELLO

 

 

W
=
5
-
4
WHEN
50
23
5
Y
=
7
-
3
YOU
61
16
7
W
=
5
-
4
WISH
59
23
5
U
=
3
-
4
UPON
66
21
3
A
=
1
-
1
A
1
1
1
S
=
1
-
4
STAR
58
13
4
-
-
22
4
20
First Total
295
97
25
-
-
2+2
-
2+0
Add to Reduce
2+9+5
9+7
2+5
Q
-
4
-
2
Second Total
16
16
7
-
-
-
-
-
Reduce to Deduce
1+6
1+6
-
-
-
4
-
2
Essence of Number
7
7
7

 

 

ALNI TAK ALNILAM MINTAKA

 

A
=
1
-
7
ALNITAK
68
23
5
A
=
1
-
7
ALNILAM
62
26
8
M
=
4
-
7
MINTAKA
69
24
6
-
-
6
4
21
First Total
199
73
19
-
-
-
-
2+1
Add to Reduce
1+9+9
7+3
1+9
Q
-
6
-
3
Second Total
19
10
10
-
-
-
-
-
Reduce to Deduce
1+9
1+0
1+0
Q
-
6
-
3
Third Totalr
10
1
1
-
-
-
-
-
Add to Reduce
1+0
-
-
Q
-
6
-
3
Essence of Number
1
1
1

 

ALNITAK ALNILAM MINTAKA

 

 

-
21
A
L
N
I
T
A
K
-
A
L
N
I
L
A
M
-
M
I
N
T
A
K
A
-
-
-
-
-
-
-
-
-
-
-
-
-
-
5
9
-
-
-
-
-
-
5
9
-
-
-
-
-
9
5
-
-
-
-
+
=
42
4+2
=
6
=
6
=
6
-
-
-
-
14
9
-
-
-
-
-
-
14
9
-
-
-
-
-
9
14
-
-
-
-
+
=
69
6+9
=
15
1+5
6
=
6
-
21
A
L
N
I
T
A
K
-
A
L
N
I
L
A
M
-
M
I
N
T
A
K
A
-
-
-
-
-
-
-
-
-
-
-
-
1
3
-
-
2
1
2
-
1
3
-
-
3
1
4
-
4
-
-
2
1
2
1
+
=
31
3+1
=
4
=
4
=
4
-
-
1
12
-
-
20
1
11
-
1
12
-
-
12
1
13
-
13
-
-
20
1
11
1
+
=
130
1+3+0
=
4
=
4
=
4
-
21
A
L
N
I
T
A
K
-
A
L
N
I
L
A
M
-
M
I
N
T
A
K
A
-
-
-
-
-
-
-
-
-
-
-
-
1
12
14
9
20
1
11
-
1
12
14
9
12
1
13
-
13
9
14
20
1
11
1
+
=
199
1+9+9
=
19
1+9
10
1+0
1
-
-
1
3
5
9
2
1
2
-
1
3
5
9
3
1
4
-
4
9
5
2
1
2
1
+
=
73
7+3
=
10
1+0
1
=
1
-
21
A
L
N
I
T
A
K
-
A
L
N
I
L
A
M
-
M
I
N
T
A
K
A
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
1
-
-
1
-
-
-
-
1
-
-
-
-
-
-
1
-
1
-
-
1
occurs
x
6
=
6
=
6
-
-
-
-
-
-
2
-
2
-
-
-
-
-
-
-
-
-
-
-
-
2
-
2
-
-
-
2
occurs
x
4
=
8
=
8
-
-
-
3
-
-
-
-
-
-
-
3
-
-
3
-
-
-
-
-
-
-
-
-
-
-
-
3
occurs
x
3
=
9
=
9
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
4
-
4
-
-
-
-
-
-
-
-
4
occurs
x
2
=
8
=
8
-
-
-
-
5
-
-
-
-
-
-
-
5
-
-
-
-
-
-
-
5
-
-
-
-
-
-
5
occurs
x
3
=
15
1+5
6
6
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
6
-
-
-
-
-
-
-
7
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
7
-
-
-
-
-
-
-
8
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
8
-
-
-
-
-
-
-
-
-
-
-
-
9
-
-
-
-
-
-
-
9
-
-
-
-
-
9
-
-
-
-
-
-
-
9
occurs
x
3
=
27
2+7
9
21
21
A
L
N
I
T
A
K
-
A
L
N
I
L
A
M
-
M
I
N
T
A
K
A
-
-
24
-
-
21
-
73
-
46
2+1
2+1
1
-
-
-
-
1
-
-
1
-
-
-
-
1
-
-
-
-
-
-
1
-
1
-
-
2+4
-
-
2+1
-
7+3
-
4+6
3
3
A
L
N
I
T
A
K
-
A
L
N
I
L
A
M
-
M
I
N
T
A
K
A
-
-
6
-
-
3
-
10
-
10
-
-
1
3
5
9
2
1
2
-
1
3
5
9
3
1
4
-
4
9
5
2
1
2
1
-
-
-
-
-
-
-
1+0
-
1+0
3
3
A
L
N
I
T
A
K
-
A
L
N
I
L
A
M
-
M
I
N
T
A
K
A
-
-
6
-
-
3
-
1
-
1

 

 

21
A
L
N
I
T
A
K
-
A
L
N
I
L
A
M
-
M
I
N
T
A
K
A
-
-
-
-
-
-
-
-
-
-
-
-
-
5
9
-
-
-
-
-
-
5
9
-
-
-
-
-
9
5
-
-
-
-
+
=
42
4+2
=
6
=
6
=
6
-
-
-
14
9
-
-
-
-
-
-
14
9
-
-
-
-
-
9
14
-
-
-
-
+
=
69
6+9
=
15
1+5
6
=
6
21
A
L
N
I
T
A
K
-
A
L
N
I
L
A
M
-
M
I
N
T
A
K
A
-
-
-
-
-
-
-
-
-
-
-
1
3
-
-
2
1
2
-
1
3
-
-
3
1
4
-
4
-
-
2
1
2
1
+
=
31
3+1
=
4
=
4
=
4
-
1
12
-
-
20
1
11
-
1
12
-
-
12
1
13
-
13
-
-
20
1
11
1
+
=
130
1+3+0
=
4
=
4
=
4
21
A
L
N
I
T
A
K
-
A
L
N
I
L
A
M
-
M
I
N
T
A
K
A
-
-
-
-
-
-
-
-
-
-
-
1
12
14
9
20
1
11
-
1
12
14
9
12
1
13
-
13
9
14
20
1
11
1
+
=
199
1+9+9
=
19
1+9
10
1+0
1
-
1
3
5
9
2
1
2
-
1
3
5
9
3
1
4
-
4
9
5
2
1
2
1
+
=
73
7+3
=
10
1+0
1
=
1
21
A
L
N
I
T
A
K
-
A
L
N
I
L
A
M
-
M
I
N
T
A
K
A
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
1
-
-
1
-
-
-
-
1
-
-
-
-
-
-
1
-
1
-
-
1
occurs
x
6
=
6
=
6
-
-
-
-
-
2
-
2
-
-
-
-
-
-
-
-
-
-
-
-
2
-
2
-
-
-
2
occurs
x
4
=
8
=
8
-
-
3
-
-
-
-
-
-
-
3
-
-
3
-
-
-
-
-
-
-
-
-
-
-
-
3
occurs
x
3
=
9
=
9
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
4
-
4
-
-
-
-
-
-
-
-
4
occurs
x
2
=
8
=
8
-
-
-
5
-
-
-
-
-
-
-
5
-
-
-
-
-
-
-
5
-
-
-
-
-
-
5
occurs
x
3
=
15
1+5
6
-
-
-
-
9
-
-
-
-
-
-
-
9
-
-
-
-
-
9
-
-
-
-
-
-
-
9
occurs
x
3
=
27
2+7
9
21
A
L
N
I
T
A
K
-
A
L
N
I
L
A
M
-
M
I
N
T
A
K
A
-
-
24
-
-
21
-
73
-
46
2+1
1
-
-
-
-
1
-
-
1
-
-
-
-
1
-
-
-
-
-
-
1
-
1
-
-
2+4
-
-
2+1
-
7+3
-
4+6
3
A
L
N
I
T
A
K
-
A
L
N
I
L
A
M
-
M
I
N
T
A
K
A
-
-
6
-
-
3
-
10
-
10
-
1
3
5
9
2
1
2
-
1
3
5
9
3
1
4
-
4
9
5
2
1
2
1
-
-
-
-
-
-
-
1+0
-
1+0
3
A
L
N
I
T
A
K
-
A
L
N
I
L
A
M
-
M
I
N
T
A
K
A
-
-
6
-
-
3
-
1
-
1

 

 

7
ALNITAK
68
23
5
7
ALNILAM
62
26
8
7
MINTAKA
69
24
6
21
First Total
199
73
19
2+1
Add to Reduce
1+9+9
7+3
1+9
3
Second Total
19
10
10
-
Reduce to Deduce
1+9
1+0
1+0
3
Third Totalr
10
1
1
-
Reduce to Produce
1+0
-
-
3
Essence of Number
1
1
1

 

 

A
=
1
-
4
ALNI
36
18
9
A
=
1
-
4
ALNI
36
18
9
M
=
4
-
3
MIN
36
18
9
-
-
6
4
11
Add to Reduce
108
54
27
-
-
-
-
1+1
Reduce to Deduce
1+0+8
5+4
2+7
Q
-
6
-
2
Essence of Number
9
9
9

 

ALNI TAK ALNI LAM MIN TAKA

I

ME I ME

I

ALNI TAK ALNI LAM MIN TAKA

 

A
=
1
-
4
ALNI
36
18
9
A
=
1
-
4
ALNI
36
18
9
M
=
4
-
3
MIN
36
18
9
-
-
6
4
11
Add to Reduce
108
54
27
-
-
-
-
1+1
Reduce to Deduce
1+0+8
5+4
2+7
Q
-
6
-
2
Essence of Number
9
9
9

 

 

7
ALNITAK
68
23
5
7
ALNILAM
62
26
8
7
MINTAKA
69
24
6
21
First Total
199
73
19
2+1
Add to Reduce
1+9+9
7+3
1+9
3
Second Total
19
10
10
-
Reduce to Deduce
1+9
1+0
1+0
3
Third Totalr
10
1
1
-
Reduce to Produce
1+0
-
-
3
Essence of Number
1
1
1

 

 

T
=
2
-
3
TAK
32
5
5
L
=
3
-
3
LAM
26
8
8
T
=
2
-
4
TAKA
33
6
6
-
-
7
4
10
First Total
91
19
19
-
-
-
-
1+0
Add to Reduce
9+1
1+9
1+9
Q
-
7
-
1
Second Total
10
10
10
-
-
-
-
-
Reduce to Deduce
1+0
1+0
1+0
Q
-
7
-
1
Essence of Number
10
10
10

 

 

7
ALNITAK
68
23
5
7
ALNILAM
62
26
8
7
MINTAKA
69
24
6
21
First Total
199
73
19
2+1
Add to Reduce
1+9+9
7+3
1+9
3
Second Total
19
10
10
-
Reduce to Deduce
1+9
1+0
1+0
3
Third Totalr
10
1
1
-
Reduce to Produce
1+0
-
-
3
Essence of Number
1
1
1

 

 

ALNITAK ALNILAM MINTAKA

ALNI TAK ALNI LAM MIN TAKA

1+3+5+9 2+1+2 1+3+5+9 3+1+4 4+9+5 2+1+2+1

ALNI TAK ALNI LAM MIN TAKA

ALNITAK ALNILAM MINTAKA

 

 

A
=
1
-
7
ALNITAK
68
23
5
A
=
1
-
7
ALNILAM
62
26
8
M
=
4
-
7
MINTAKA
69
24
6
-
-
6
-
21
First Total
199
73
19
-
-
-
-
2+1
Add to Reduce
1+9+9
7+3
1+9
-
-
6
-
3
Second Total
19
10
10
-
-
-
-
-
Reduce to Deduce
1+9
1+0
1+0
-
-
6
-
3
Third Totalr
10
1
1
-
-
-
-
-
Reduce to Produce
1+0
-
-
-
-
6
-
3
Essence of Number
1
1
1

 

Mintaka, designation Delta Orionis

 

M
=
4
-
7
MINTAKA
69
24
6
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
12
DELTA ORIONIS
-
-
-
D
=
4
-
5
DELTA
42
15
6
O
=
6
-
7
ORIONIS
99
54
9
-
-
10
-
12
DELTA ORIONIS
141
69
15
-
-
1+0
-
1+2
-
1+4+1
6+9
1+5
-
-
1
-
3
DELTA ORIONIS
6
15
6
-
-
-
-
-
-
1+9
1+5
-
-
-
1
-
3
DELTA ORIONIS
6
6
1

 

Alnitak (Zeta Orionis)

 

A
=
1
-
7
ALNITAK
68
23
5
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
11
ZETA ORIONIS
-
-
-
Z
=
8
-
4
ZETA
52
16
7
O
=
6
-
7
ORIONIS
99
54
9
-
-
14
-
11
ZETA ORIONIS
151
70
16
-
-
1+4
-
1+1
-
1+5+1
7+0
1+6
-
-
5
-
2
ZETA ORIONIS
7
7
7

 

Alnilam (Epsilon Orionis)

 

A
=
4
-
7
ALNILAM
62
26
8
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
-
12
EPSILON ORIONIS
-
-
-
E
=
5
-
7
EPSILON
90
45
9
O
=
6
-
7
ORIONIS
99
54
9
-
-
11
-
14
EPSILON ORIONIS
189
99
18
-
-
1+1
-
1+4
-
1+8+9
9+9
1+8
-
-
2
-
5
EPSILON ORIONIS
18
18
9
-
-
-
-
-
-
1+8
1+8
-
-
-
2
-
5
EPSILON ORIONIS
9
9
9

 

 

Mintaka, designation Delta Orionis

Alnitak (Zeta Orionis)

Alnilam (Epsilon Orionis)

the three stars form Orion's Belt,

 

ALNITAK (Zeta Orionis). With brilliant Betelgeuse and Rigel dominating great Orion, we pay little heed to the individual stars of the Hunter's belt except ... www.astro.uiuc.edu/~kaler/sow/alnitak.html

 

ALNITAK (Zeta Orionis). With brilliant Betelgeuse and Rigel dominating great Orion, we pay little heed to the individual stars of the Hunter's belt except as a group, the trio the Arabs called the "string of pearls." All second magnitude, Johannes Bayer seems to have named the stars Delta, Epsilon, and Zeta from right to left. The name of the left hand star, Alnitak (Zeta Orionis), stands in for the whole string, and comes from a phrase that means "the belt of al jauza," "al jauza" the Arabs female "central one." Separate Alnitak from the belt and it becomes a most remarkable star in its own right, the brightest class O star in the sky, a hot blue supergiant. Tucked right next to it is a companion, a blue class B hydrogen-fusing star about three seconds of arc away, the pair orbiting each other with a period estimated to be thousands of years long. The region around Alnitak is remarkable as well, containing several dusty clouds of interstellar gas, including the famed "Horsehead Nebula" to the south. Alnitak approaches first magnitude even though at a distance of 800 light years. To the eye (ignoring the companion), it is 10,000 times more luminous than the Sun. However, its 31,000 Kelvin surface radiates mostly in the ultraviolet where the eye cannot see, and when that it taken into account, Alnitak's luminosity climbs to 100,000 times solar. A planet like the Earth would have to be 300 times farther from Alnitak than Earth is from the Sun (8 times Pluto's distance) for life like ours to survive. Such brilliance can only come from a star of great mass, Alnitak's estimated to be about 20 times solar (its dimmer companion's about 14 times solar). Like all O stars, Alnitak is a source of X-rays that seem to come from a wind that blows from its surface at nearly 2000 kilometers per second, the X- rays produced when blobs of gas in the wind crash violently into one another. Massive stars use their fuel quickly and do not live very long. Alnitak is probably only about 6 million years old (as opposed to the Sun's 4.5 billion year age) and it has already begun to die, hydrogen fusion having ceased in its core. The star will eventually become a red supergiant somewhat like Betelgeuse and almost certainly will explode as a supernova, leaving its companion orbiting a hot, madly spinning neutron star. (Thanks to Monica Shaw, who helped research this star.)

Written by Jim Kaler. Return to STARS.

 

 

7
ALNITAK
68
23
5

 

 

-
7
A
L
N
I
T
A
K
-
-
-
-
-
-
-
-
-
-
-
-
5
9
-
-
-
+
=
14
1+4
=
5
=
5
-
-
-
-
14
9
-
-
-
+
=
23
2+3
=
5
=
5
-
7
A
L
N
I
T
A
K
-
-
-
-
-
-
-
-
-
-
1
3
-
-
2
1
2
+
=
9
3+1
=
9
=
9
-
-
1
12
-
-
20
1
11
+
=
45
4+5
=
9
=
9
-
7
A
L
N
I
T
A
K
-
-
-
-
-
-
-
-
-
-
1
12
14
9
20
1
11
+
=
68
6+8
=
14
=
5
-
-
1
3
5
9
2
1
2
+
=
23
2+3
=
5
=
5
-
7
A
L
N
I
T
A
K
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
1
-
-
-
1
occurs
x
2
=
2
-
-
-
-
-
-
2
-
2
-
-
2
occurs
x
2
=
4
-
-
-
3
-
-
-
-
-
-
-
3
occurs
x
1
=
3
4
-
-
-
-
-
-
-
-
-
-
4
-
-
-
-
-
-
-
-
-
5
-
-
-
-
-
-
5
occurs
x
1
=
5
6
-
-
-
-
-
-
-
-
-
-
6
-
-
-
-
-
7
-
-
-
-
-
-
-
-
-
-
7
-
-
-
-
-
8
-
-
-
-
-
-
-
-
-
-
8
-
-
-
-
-
-
-
-
-
-
9
-
-
-
-
-
9
occurs
x
1
=
9
25
7
A
L
N
I
T
A
K
-
-
20
-
-
7
-
23
2+5
-
-
-
-
9
-
-
-
-
-
2+0
-
-
-
-
2+3
7
7
A
L
N
I
T
A
K
-
-
2
-
-
7
-
5
-
-
1
3
5
9
2
1
2
-
-
-
-
-
-
-
-
7
7
A
L
N
I
T
A
K
-
-
2
-
-
7
-
5

 

 

7
A
L
N
I
T
A
K
-
-
-
-
-
-
-
-
-
-
-
5
9
-
-
-
+
=
14
1+4
=
5
=
5
-
-
-
14
9
-
-
-
+
=
23
2+3
=
5
=
5
7
A
L
N
I
T
A
K
-
-
-
-
-
-
-
-
-
1
3
-
-
2
1
2
+
=
9
3+1
=
9
=
9
-
1
12
-
-
20
1
11
+
=
45
4+5
=
9
=
9
7
A
L
N
I
T
A
K
-
-
-
-
-
-
-
-
-
1
12
14
9
20
1
11
+
=
68
6+8
=
14
=
5
-
1
3
5
9
2
1
2
+
=
23
2+3
=
5
=
5
7
A
L
N
I
T
A
K
-
-
-
-
-
-
-
-
-
1
-
-
-
-
1
-
-
-
1
occurs
x
2
=
2
-
-
-
-
-
2
-
2
-
-
2
occurs
x
2
=
4
-
-
3
-
-
-
-
-
-
-
3
occurs
x
1
=
3
-
-
-
5
-
-
-
-
-
-
5
occurs
x
1
=
5
-
-
-
-
9
-
-
-
-
-
9
occurs
x
1
=
9
7
A
L
N
I
T
A
K
-
-
20
-
-
7
-
23
-
-
-
-
9
-
-
-
-
-
2+0
-
-
-
-
2+3
7
A
L
N
I
T
A
K
-
-
2
-
-
7
-
5
-
1
3
5
9
2
1
2
-
-
-
-
-
-
-
-
7
A
L
N
I
T
A
K
-
-
2
-
-
7
-
5

 

 

ALNILAM (Epsilon Orionis). Three brilliant stars mark the belt of Orion the Hunter, from right to left (west to east) Mintaka, Alnilam, and Alnitak. ... www.astro.uiuc.edu/~kaler/sow/alnilam.html

 

ALNILAM (Epsilon Orionis). Three brilliant stars mark the belt of Orion the Hunter, from right to left (west to east) Mintaka, Alnilam, and Alnitak. The names of all three refer to the whole set. The outer two are named after the "belt" of the Arabs "Central One (a mysterious feminine figure), while Alnilam comes from an Arabic word that aptly means "the String of Pearls," which the trio so well represents. The brightest of the Belt stars (which Bayer lettered in alphabetic order, again from right to left, Delta, Epsilon, and Zeta), and ranking fourth in the whole constellation, Alnilam shines at bright second magnitude (1.70). Though all three stars have similar colors, classes, and temperatures, Alnilam, a hot B (B0) bright supergiant, is notably the most luminous: it is brightest even though farthest away, half again farther than the other two (which lie at nearly the same distance, about 870 light years). From Alnilam's measured (though rather uncertain) distance of 1340 light years, it spectacularly radiates (after correction for its great amount of ultraviolet light) 375,000 solar luminosities from its 25,000 Kelvin surface, and is so hot that it illuminates its own (faint) nebulous cloud from the surrounding interstellar gases. Alnilam has served for many years as a "standard star" against which to compare others. Its brilliant blue and relatively simple spectrum also provides a fine background against which to study the gases of the intervening interstellar space. Like most supergiants, Alnilam is losing mass. A powerful wind blows from the star's surface at speeds up to 2000 kilometers per second, the flow rate two millionths of a solar mass per year (20 million times that from the Sun). Though seemingly single, which disallows direct measure of mass by means of a double-star orbit, the luminosity tells of an evolving star with a mass some 40 times solar. Currently only 4 or so million years old, its internal hydrogen fusion is shutting down, if it has not done so already. The star will shortly turn into a magnificent red supergiant far more luminous than nearby (on the sky) Betelgeuse, its only fate someday to explode.

Written by Jim Kaler. Return to STARS.

 

 

7
ALNILAM
62
26
8

 

 

-
7
A
L
N
I
L
A
M
-
-
-
-
-
-
-
-
-
-
-
-
5
9
-
-
-
+
=
14
1+4
=
5
=
5
-
-
-
-
14
9
-
-
-
+
=
23
2+3
=
5
=
5
-
7
A
L
N
I
L
A
M
-
-
-
-
-
-
-
-
-
-
1
3
-
-
3
1
4
+
=
12
1+2
=
3
=
3
-
-
1
12
-
-
12
1
13
+
=
39
3+9
=
1+2
=
3
-
7
A
L
N
I
L
A
M
-
-
-
-
-
-
-
-
-
-
1
12
14
9
12
1
13
+
=
62
6+2
=
8
=
8
-
-
1
3
5
9
3
1
4
+
=
26
2+6
=
8
=
8
-
7
A
L
N
I
L
A
M
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
1
-
-
-
1
occurs
x
2
=
2
2
-
-
-
-
-
-
-
-
-
-
2
-
-
-
-
-
-
-
-
3
-
-
3
-
-
-
-
3
occurs
x
2
=
6
-
-
-
-
-
-
-
-
4
-
-
4
occurs
x
1
=
4
-
-
-
-
5
-
-
-
-
-
-
5
occurs
x
1
=
5
6
-
-
-
-
-
-
-
-
-
-
6
-
-
-
-
-
7
-
-
-
-
-
-
-
-
-
-
7
-
-
-
-
-
8
-
-
-
-
-
-
-
-
-
-
8
-
-
-
-
-
-
-
-
-
-
9
-
-
-
-
-
9
occurs
x
1
=
9
23
7
A
L
N
I
L
A
M
-
-
22
-
-
21
-
73
2+3
-
1
-
-
-
-
1
-
-
-
2+2
-
-
2+1
-
7+3
5
7
A
L
N
I
L
A
M
-
-
4
-
-
3
-
10
-
-
1
3
5
9
3
1
4
-
-
-
-
-
-
-
1+0
5
7
A
L
N
I
L
A
M
-
-
4
-
-
3
-
1

 

 

7
EPSILON
-
-
-
-
E+P+S
40
13
4
-
L+I+O+N
50
23
5
7
EPSILON
90
36
9
-
-
9+0
3+6
-
7
EPSILON
9
9
9

 

 

-
7
E
P
S
I
L
O
N
-
-
-
-
-
--
-
-
-
-
-
-
-
-
1
9
-
6
5
+
=
21
2+1
=
3
=
3
=
3
-
-
-
-
19
9
-
15
14
+
=
57
5+7
=
12
1+2
3
=
3
-
7
E
P
S
I
L
O
N
-
-
-
-
-
--
-
-
-
-
-
-
5
7
-
-
3
-
-
+
=
15
1+5
=
6
=
6
=
6
-
-
5
16
-
-
12
-
-
+
=
33
3+3
=
6
=
6
=
6
-
7
E
P
S
I
L
O
N
-
-
-
-
-
--
-
-
-
-
-
-
5
16
19
9
12
15
14
+
=
90
9+0
=
9
=
9
=
9
-
-
5
7
1
9
3
6
5
+
=
36
3+6
=
9
=
9
=
9
-
7
E
P
S
I
L
O
N
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
-
-
1
occurs
x
1
=
1
=
1
2
-
-
-
-
-
-
-
-
-
-
2
-
-
-
-
-
-
-
-
-
-
-
-
-
3
-
-
-
-
3
occurs
x
1
=
3
=
3
4
-
-
-
-
-
-
-
-
-
-
4
-
-
-
-
-
-
-
-
-
5
-
--
-
-
-
5
-
-
5
occurs
x
2
=
10
1+0
1
-
-
-
-
-
-
-
6
-
-
-
6
occurs
x
1
=
6
=
6
-
-
-
7
-
-
-
-
-
-
-
7
occurs
x
1
=
7
=
7
8
-
-
-
-
-
-
-
-
-
-
8
-
-
-
-
-
-
-
-
-
-
-
-
9
-
-
-
-
-
9
occurs
x
1
=
9
=
9
14
7
E
P
S
I
L
O
N
-
-
31
-
-
7
-
36
-
27
1+4
-
-
-
-
9
-
-
-
-
-
3+1
-
-
-
-
3+6
-
2+7
5
7
E
P
S
I
L
O
N
-
-
2
-
-
7
-
9
-
9

 

 

7
E
P
S
I
L
O
N
-
-
-
-
-
--
-
-
-
-
-
-
-
1
9
-
6
5
+
=
21
2+1
=
3
=
3
=
3
-
-
-
19
9
-
15
14
+
=
57
5+7
=
12
1+2
3
=
3
7
E
P
S
I
L
O
N
-
-
-
-
-
--
-
-
-
-
-
5
7
-
-
3
-
-
+
=
15
1+5
=
6
=
6
=
6
-
5
16
-
-
12
-
-
+
=
33
3+3
=
6
=
6
=
6
7
E
P
S
I
L
O
N
-
-
-
-
-
--
-
-
-
-
-
5
16
19
9
12
15
14
+
=
90
9+0
=
9
=
9
=
9
-
5
7
1
9
3
6
5
+
=
36
3+6
=
9
=
9
=
9
7
E
P
S
I
L
O
N
-
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
-
-
1
occurs
x
1
=
1
=
1
-
-
-
-
-
3
-
-
-
-
3
occurs
x
1
=
3
=
3
-
5
-
--
-
-
-
5
-
-
5
occurs
x
2
=
10
1+0
1
-
-
-
-
-
-
6
-
-
-
6
occurs
x
1
=
6
=
6
-
-
7
-
-
-
-
-
-
-
7
occurs
x
1
=
7
=
7
-
-
-
-
9
-
-
-
-
-
9
occurs
x
1
=
9
=
9
7
E
P
S
I
L
O
N
-
-
31
-
-
7
-
36
-
27
-
-
-
-
9
-
-
-
-
-
3+1
-
-
-
-
3+6
-
2+7
7
E
P
S
I
L
O
N
-
-
2
-
-
7
-
9
-
9

 

 

-
7
O
R
I
O
N
I
S
-
-
-
-
-
--
-
-
-
-
-
-
6
-
9
6
5
9
1
+
=
36
3+6
=
9
=
9
-
9
-
`-
15
-
9
15
14
9
19
+
=
81
8+1
=
9
=
9
-
9
-
7
O
R
I
O
N
I
S
-
-
-
-
-
--
-
-
-
-
-
-
-
9
-
-
-
-
-
+
=
9
-
=
9
=
9
-
9
-
`-
-
18
-
-
-
-
-
+
=
18
1+8
=
9
=
9
-
9
-
7
O
R
I
O
N
I
S
-
-
-
-
-
--
-
-
-
-
-
`-
15
18
9
15
14
9
19
+
=
99
9+9
=
18
1+8
9
-
9
-
-
6
9
9
6
5
9
1
+
=
45
4+5
=
9
=
9
-
9
-
7
O
R
I
O
N
I
S
T
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
1
occurs
x
1
=
1
=
1
2
-
-
3
-
-
-
-
-
-
-
2
-
-
-
-
-
-
-
3
-
-
3
-
-
-
-
-
-
-
3
-
-
-
-
-
-
-
4
-
-
-
--
-
-
-
-
-
-
4
-
-
-
-
-
-
-
--
-
-
-
-
-
5
-
-
-
-
5
occurs
x
1
=
5
-
5
--
-
6
-
-
6
-
-
-
-
-
6
occurs
x
2
=
12
1+2
3
7
-
7
-
-
7
-
-
-
-
-
7
-
-
-
-
-
-
-
8
-
-
-
-
-
-
-
-
-
-
8
-
-
-
-
-
-
-
-
-
-
9
9
-
-
9
-
-
-
9
occurs
x
3
=
27
2+7
9
24
7
O
R
I
O
N
I
S
-
-
21
-
-
7
-
45
-
18
2+4
-
-
9
9
-
-
9
-
-
-
2+1
-
-
-
-
4+5
-
1+8
6
7
O
R
I
O
N
I
S
-
-
3
-
-
7
-
9
-
9
-
-
6
9
9
6
5
9
1
-
-
-
-
-
-
-
-
-
-
6
7
O
R
I
O
N
I
S
-
-
3
-
-
7
-
9
-
9

 

 

7
O
R
I
O
N
I
S
-
-
-
-
-
--
-
-
-
-
-
6
-
9
6
5
9
1
+
=
36
3+6
=
9
=
9
-
9
`-
15
-
9
15
14
9
19
+
=
81
8+1
=
9
=
9
-
9
7
O
R
I
O
N
I
S
-
-
-
-
-
--
-
-
-
-
-
-
9
-
-
-
-
-
+
=
9
-
=
9
=
9
-
9
`-
-
18
-
-
-
-
-
+
=
18
1+8
=
9
=
9
-
9
7
O
R
I
O
N
I
S
-
-
-
-
-
--
-
-
-
-
`-
15
18
9
15
14
9
19
+
=
99
9+9
=
18
1+8
9
-
9
-
6
9
9
6
5
9
1
+
=
45
4+5
=
9
=
9
-
9
7
O
R
I
O
N
I
S
T
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
1
occurs
x
1
=
1
=
1
-
-
-
-
-
5
-
-
-
-
5
occurs
x
1
=
5
-
5
-
6
-
-
6
-
-
-
-
-
6
occurs
x
2
=
12
1+2
3
-
-
9
9
-
-
9
-
-
-
9
occurs
x
3
=
27
2+7
9
7
O
R
I
O
N
I
S
-
-
21
-
-
7
-
45
-
18
-
-
9
9
-
-
9
-
-
-
2+1
-
-
-
-
4+5
-
1+8
7
O
R
I
O
N
I
S
-
-
3
-
-
7
-
9
-
9
-
6
9
9
6
5
9
1
-
-
-
-
-
-
-
-
-
-
7
O
R
I
O
N
I
S
-
-
3
-
-
7
-
9
-
9

 

 

E
=
5
-
7
EPSILON
90
36
9
O
=
6
-
7
ORIONIS
99
45
9
-
-
11
4
14
First Total
189
81
18
-
-
1+1
-
1+4
Add to Reduce
1+8+9
8+1
1+8
Q
-
2
-
5
Second Total
18
9
9
-
-
-
-
-
Reduce to Deduce
1+8
-
-
Q
-
2
-
5
Essence of Number
9
9
9

 

 

-
14
E
P
S
I
L
O
N
-
O
R
I
O
N
I
S
-
-
-
-
-
--
-
-
-
-
-
-
-
-
1
9
-
6
5
-
6
-
9
6
5
9
1
+
=
57
5+7
=
12
1+2
3
=
3
-
-
-
-
19
9
-
15
14
-
15
-
9
15
14
9
19
+
=
138
1+3+8
=
12
1+2
3
=
3
-
14
E
P
S
I
L
O
N
-
O
R
I
O
N
I
S
-
-
-
-
-
--
-
-
-
-
-
-
5
7
-
-
3
-
-
-
-
9
-
-
-
-
-
+
=
24
2+4
=
6
=
6
=
6
-
-
5
16
-
-
12
-
-
-
-
18
-
-
-
-
-
+
=
51
5+1
=
6
=
6
=
6
-
14
E
P
S
I
L
O
N
-
O
R
I
O
N
I
S
-
-
-
-
-
--
-
-
-
-
-
-
5
16
19
9
12
15
14
-
15
18
9
15
14
9
19
+
=
189
1+8+9
=
9
=
9
=
9
-
-
5
7
1
9
3
6
5
-
6
9
9
6
5
9
1
+
=
81
8+1
=
9
=
9
=
9
-
14
E
P
S
I
L
O
N
-
O
R
I
O
N
I
S
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
-
-
-
-
-
-
-
1
-
-
1
occurs
x
2
=
2
=
2
2
-
-
-
-
-
-
-
-
-
-
3
-
-
-
-
-
-
-
2
-
-
-
-
-
-
-
-
-
-
-
-
-
3
-
-
-
-
3
-
-
-
-
-
-
-
3
occurs
x
1
=
3
=
3
4
-
-
-
-
-
-
-
-
-
-
-
--
-
-
-
-
-
-
4
-
-
-
-
-
-
-
-
-
5
-
--
-
-
-
5
-
-
-
-
-
5
-
-
-
-
5
occurs
x
3
=
15
1+5
6
-
-
-
-
-
-
-
6
-
-
6
-
-
6
-
-
-
-
-
6
occurs
x
3
=
18
1+8
9
-
-
-
7
-
-
-
-
-
-
7
-
-
7
-
-
-
-
-
7
occurs
x
1
=
7
=
7
8
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
8
-
-
-
-
-
-
-
-
-
-
-
-
9
-
-
-
-
-
9
9
-
-
9
-
-
-
9
occurs
x
4
=
36
3+6
9
14
14
E
P
S
I
L
O
N
-
O
R
I
O
N
I
S
-
-
31
-
-
14
-
81
-
36
1+4
1+4
-
-
-
9
-
-
-
-
-
9
9
-
-
9
-
-
-
3+1
-
-
1+4
-
8+1
-
3+6
5
5
E
P
S
I
L
O
N
-
O
R
I
O
N
I
S
-
-
4
-
-
5
-
9
-
9
-
-
5
7
1
9
3
6
5
-
6
9
9
6
5
9
1
-
-
-
-
-
-
-
-
-
-
5
5
E
P
S
I
L
O
N
-
O
R
I
O
N
I
S
-
-
4
-
-
5
-
9
-
9

 

 

14
E
P
S
I
L
O
N
-
O
R
I
O
N
I
S
-
-
-
-
-
--
-
-
-
-
-
-
-
1
9
-
6
5
-
6
-
9
6
5
9
1
+
=
57
5+7
=
12
1+2
3
=
3
-
-
-
19
9
-
15
14
-
15
-
9
15
14
9
19
+
=
138
1+3+8
=
12
1+2
3
=
3
14
E
P
S
I
L
O
N
-
O
R
I
O
N
I
S
-
-
-
-
-
--
-
-
-
-
-
5
7
-
-
3
-
-
-
-
9
-
-
-
-
-
+
=
24
2+4
=
6
=
6
=
6
-
5
16
-
-
12
-
-
-
-
18
-
-
-
-
-
+
=
51
5+1
=
6
=
6
=
6
14
E
P
S
I
L
O
N
-
O
R
I
O
N
I
S
-
-
-
-
-
--
-
-
-
-
-
5
16
19
9
12
15
14
-
15
18
9
15
14
9
19
+
=
189
1+8+9
=
9
=
9
=
9
-
5
7
1
9
3
6
5
-
6
9
9
6
5
9
1
+
=
81
8+1
=
9
=
9
=
9
14
E
P
S
I
L
O
N
-
O
R
I
O
N
I
S
-
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
-
-
-
-
-
-
-
1
-
-
1
occurs
x
2
=
2
=
2
-
-
-
-
-
3
-
-
-
-
3
-
-
-
-
-
-
-
3
occurs
x
1
=
3
=
3
-
5
-
--
-
-
-
5
-
-
-
-
-
5
-
-
-
-
5
occurs
x
3
=
15
1+5
6
-
-
-
-
-
-
6
-
-
6
-
-
6
-
-
-
-
-
6
occurs
x
3
=
18
1+8
9
-
-
7
-
-
-
-
-
-
7
-
-
7
-
-
-
-
-
7
occurs
x
1
=
7
=
7
-
-
-
-
9
-
-
-
-
-
9
9
-
-
9
-
-
-
9
occurs
x
4
=
36
3+6
9
14
E
P
S
I
L
O
N
-
O
R
I
O
N
I
S
-
-
31
-
-
14
-
81
-
36
1+4
-
-
-
9
-
-
-
-
-
9
9
-
-
9
-
-
-
3+1
-
-
1+4
-
8+1
-
3+6
5
E
P
S
I
L
O
N
-
O
R
I
O
N
I
S
-
-
4
-
-
5
-
9
-
9
-
5
7
1
9
3
6
5
-
6
9
9
6
5
9
1
-
-
-
-
-
-
-
-
-
-
5
E
P
S
I
L
O
N
-
O
R
I
O
N
I
S
-
-
4
-
-
5
-
9
-
9

 

 

MINTAKA (Delta Orionis). Orion is defined by his great belt, three bright second magnitude stars in a row that the ancient Arabs called "the string of ... www.astro.uiuc.edu/~kaler/sow/mintaka.html

 

MINTAKA (Delta Orionis). Orion is defined by his great belt, three bright second magnitude stars in a row that the ancient Arabs called "the string of pearls," which is the meaning of the name of the middle star, Alnilam. The two flanking stars, eastern Alnitak and western Mintaka, both come from Arabic phrases that mean "the belt of the Central One," the Central One the Arabic personification of our Orion, a woman lost to history. Though (at magnitude 2.21) Mintaka is the seventh brightest star in Orion, and the faintest of the three belt stars, it still received the Delta designation from Bayer, who lettered the belt stars in order from west to east before dropping down to Orion's lower half to continue the process. Of the sky's brightest stars, first through third magnitude, Mintaka is closest to the celestial equator, only a quarter of a degree to the south, the star rising and setting almost exactly east and west. The star is wonderfully complex. A small telescope shows a seventh magnitude companion separated by almost a minute of arc. At Mintaka's distance of 915 light years (very nearly the same as Alnitak at the eastern end of the belt), the faint companion orbits at least a quarter of a light year from the bright one. In between is a vastly dimmer 14th magnitude component. The bright star we call Mintaka (whose solo magnitude is 2.23) is ALSO double, and consists of a hot (30,000 Kelvin) class B, slightly evolved, giant star and a somewhat hotter class O star, each radiating near 90,000 times the solar luminosity (after correction for a bit of interstellar dust absorption), each having masses somewhat over 20 times the solar mass. This pair is too close to be separated directly. The duplicity is known through the star's spectrum (its rainbow of light), which detects two stars orbiting each other every 5.73 days, and also because the stars slightly eclipse each other, causing a dip of about 0.2 magnitudes. Mintaka is most famed. however, as a background against which the thin gas of interstellar space was first detected, when the German astronomer Johannes Hartmann in 1904 discovered absorptions in the star's spectrum that could not be produced by the orbiting pair. From this discovery, and others that followed, we now know that all of the Galaxy's interstellar space contains an enormously complex medium of gas and dust that is the birthplace of new stars. Mintaka will also, to some distant generation of astronomers, be famed in death, as each of its components is so massive that their only fate is to explode violently as supernovae.

Written by Jim Kaler. Return to STARS.

 

 

7
MINTAKA
69
24
6

 

 

-
7
M
I
N
T
A
K
A
-
-
-
-
-
-
-
-
-
-
-
9
5
-
-
-
-
+
=
14
1+4
=
5
=
5
-
-
-
9
14
-
-
-
-
+
=
23
2+3
=
5
=
5
-
7
M
I
N
T
A
K
A
-
-
-
-
-
-
-
-
-
-
4
-
-
2
1
2
1
+
=
10
1+0
=
1
=
1
-
-
13
-
-
20
1
11
1
+
=
46
4+6
=
10
1+0
1
-
7
M
I
N
T
A
K
A
-
-
-
-
-
-
-
-
-
-
13
9
14
20
1
11
1
+
=
69
6+9
=
15
1+5
6
-
-
4
9
5
2
1
2
1
+
=
24
2+4
=
6
=
6
-
7
M
I
N
T
A
K
A
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
-
1
-
-
1
occurs
x
2
=
2
-
-
-
-
-
2
-
2
-
-
-
2
occurs
x
2
=
4
3
-
-
-
-
-
-
-
-
-
-
3
-
-
-
-
-
-
-
4
-
-
-
-
-
-
-
-
4
occurs
x
1
=
4
-
-
-
-
5
-
-
-
-
-
-
5
occurs
x
1
=
5
6
-
-
-
-
-
-
-
-
-
-
6
-
-
-
-
-
7
-
-
-
-
-
-
-
-
-
-
7
-
-
-
-
-
8
-
-
-
-
-
-
-
-
-
-
8
-
-
-
-
-
-
-
-
9
-
-
-
-
-
-
-
9
occurs
x
1
=
9
24
7
M
I
N
T
A
K
A
-
-
21
-
-
7
-
24
2+4
-
-
9
-
-
-
-
-
-
-
2+1
-
-
-
-
2+4
6
7
M
I
N
T
A
K
A
-
-
3
-
-
7
-
6
-
-
4
9
5
2
1
2
1
-
-
-
-
-
-
-
-
6
7
M
I
N
T
A
K
A
-
-
3
-
-
7
-
6

 

 

7
M
I
N
T
A
K
A
-
-
-
-
-
-
-
-
-
-
9
5
-
-
-
-
+
=
14
1+4
=
5
=
5
-
-
9
14
-
-
-
-
+
=
23
2+3
=
5
=
5
7
M
I
N
T
A
K
A
-
-
-
-
-
-
-
-
-
4
-
-
2
1
2
1
+
=
10
1+0
=
1
=
1
-
13
-
-
20
1
11
1
+
=
46
4+6
=
10
1+0
1
7
M
I
N
T
A
K
A
-
-
-
-
-
-
-
-
-
13
9
14
20
1
11
1
+
=
69
6+9
=
15
1+5
6
-
4
9
5
2
1
2
1
+
=
24
2+4
=
6
=
6
7
M
I
N
T
A
K
A
-
-
-
-
-
-
-
-
-
-
-
-
-
1
-
1
-
-
1
occurs
x
2
=
2
-
-
-
-
2
-
2
-
-
-
2
occurs
x
2
=
4
-
4
-
-
-
-
-
-
-
-
4
occurs
x
1
=
4
-
-
-
5
-
-
-
-
-
-
5
occurs
x
1
=
5
-
-
9
-
-
-
-
-
-
-
9
occurs
x
1
=
9
7
M
I
N
T
A
K
A
-
-
21
-
-
7
-
24
-
-
9
-
-
-
-
-
-
-
2+1
-
-
-
-
2+4
7
M
I
N
T
A
K
A
-
-
3
-
-
7
-
6
-
4
9
5
2
1
2
1
-
-
-
-
-
-
-
-
7
M
I
N
T
A
K
A
-
-
3
-
-
7
-
6

 

 

O
=
6
-
6
OSIRIS
89
35
8
I
=
9
-
4
ISIS
56
20
2
O
=
6
-
5
ORION
71
35
8
-
-
21
4
15
Add to Reduce
216
90
18
-
-
2+1
-
1+5
Reduce to Deduce
2+1+6
9+0
1+8
Q
-
3
-
6
Essence of Number
9
9
9

 

 

-
15
O
S
I
R
I
S
-
I
S
I
S
-
O
R
I
O
N
-
-
-
-
-
-
--
-
-
-
-
-
-
6
1
9
-
9
1
-
9
1
9
1
-
6
-
9
6
5
-
+
=
72
7+2
=
9
=
9
=
9
-
`-
15
19
9
-
9
19
-
9
19
9
19
-
15
-
9
15
14
-
+
=
180
1+8+0
=
9
=
9
=
9
-
15
O
S
I
R
I
S
-
I
S
I
S
-
O
R
I
O
N
-
-
-
-
-
-
--
-
-
-
-
-
-
-
-
-
9
-
-
-
-
-
-
-
-
-
9
-
-
-
-
+
=
18
1+8
=
9
=
9
=
9
-
`-
-
-
-
18
-
-
-
-
-
-
-
-
-
18
-
-
-
-
+
=
36
3+6
=
9
=
9
=
9
-
15
O
S
I
R
I
S
-
I
S
I
S
-
O
R
I
O
N
-
-
-
-
-
-
--
-
-
-
-
-
`-
15
19
9
18
9
19
-
9
19
9
19
-
15
18
9
15
14
-
+
=
216
2+1+6
=
9
=
9
=
9
-
-
6
1
9
9
9
1
-
9
1
9
1
-
6
9
9
6
5
-
+
=
90
9+0
=
9
=
9
=
9
-
15
O
S
I
R
I
S
-
I
S
I
S
-
O
R
I
O
N
-
T
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
1
-
-
1
-
1
-
-
-
-
-
-
-
-
-
1
occurs
x
4
=
4
=
4
2
-
-
-
-
3
-
-
-`
-
-
-
-
-`
-
3
-
-
-
-`
-
-
2
-
-
-
-
-
-
-
3
-
-
-
-
3
-
-
-
-
-
-
-
-
-
3
-
-
-
-
-
-
3
-
-
-
-
-
-
-
4
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
--
-
-
-
-
-
4
-
-
-
-
-
-
-
--
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
5
-
-
-
5
occurs
x
1
=
5
=
5
--
-
6
-
-
-
-
-
-
-
-
-
-
-
6
-
-
6
-
-
-
-
6
occurs
x
3
=
18
1+8
9
7
-
7
-
-
-
-
-
-
-
-
-
-
-
7
-
-
7
-
-
-
-
7
-
-
-
-
-
-
-
8
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
8
-
-
-
-
-
-
-
-
-
-
-
9
9
9
-
-
9
-
9
-
-
-
9
9
-
-
-
-
-
9
occurs
x
7
=
63
6+3
9
24
15
O
S
I
R
I
S
-
I
S
I
S
-
O
R
I
O
N
-
-
-
21
-
-
15
-
90
-
27
2+4
1+5
-
-
9
9
9
-
-
9
-
9
-
-
-
9
9
-
-
-
-
-
2+1
-
-
1+5
-
9+0
-
2+7
6
6
O
S
I
R
I
S
-
I
S
I
S
-
O
R
I
O
N
-
-
-
3
-
-
6
-
9
-
9
-
-
6
1
9
9
9
1
-
9
1
9
1
-
6
9
9
6
5
-
-
-
-
-
-
-
-
-
-
-
6
6
O
S
I
R
I
S
-
I
S
I
S
-
O
R
I
O
N
-
-
-
3
-
-
6
-
9
-
9

 

 

O
=
6
-
6
OSIRIS
89
35
8
O
=
6
-
5
ORION
71
35
8
-
-
12
4
11
Add to Reduce
160
70
16
-
-
1+2
-
1+1
Reduce to Deduce
1+6+0
7+0
1+6
Q
-
3
-
2
Essence of Number
7
7
7

 

 

-
11
O
S
I
R
I
S
-
O
R
I
O
N
-
-
-
-
-
--
-
-
-
-
-
-
6
1
9
-
9
1
-
6
-
9
6
5
+
=
52
5+2
=
7
=
7
=
7
-
`-
15
19
9
-
9
19
-
15
-
9
15
14
+
=
124
1+2+4
=
7
=
7
=
7
-
11
O
S
I
R
I
S
-
O
R
I
O
N
-
-
-
-
-
--
-
-
-
-
-
-
-
-
-
9
-
-
-
-
9
-
-
-
+
=
18
1+8
=
9
=
9
=
9
-
`-
-
-
-
18
-
-
-
-
18
-
-
-
+
=
36
3+6
=
9
=
9
=
9
-
11
O
S
I
R
I
S
-
O
R
I
O
N
-
-
-
-
-
--
-
-
-
-
-
`-
15
19
9
18
9
19
-
15
18
9
15
14
+
=
160
1+6+0
=
7
=
7
=
7
-
-
6
1
9
9
9
1
-
6
9
9
6
5
+
=
70
7+0
=
7
=
7
=
7
-
11
O
S
I
R
I
S
-
O
R
I
O
N
T
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
1
-
-
-
-
-
-
-
-
1
occurs
x
2
=
2
=
2
2
-
-
-
-
3
-
-
-`
-
3
-
-
-
-
-
2
-
-
-
-
-
-
-
3
-
-
-
-
3
-
-
-
-
3
-
-
-
-
-
3
-
-
-
-
-
-
-
4
-
-
-
-
-
-
-
-
-
-
--
-
-
-
-
4
-
-
-
-
-
-
-
--
-
-
-
-
-
-
-
-
-
-
-
-
5
-
-
5
occurs
x
1
=
5
=
5
--
-
6
-
-
-
-
-
-
6
-
-
6
-
-
-
6
occurs
x
3
=
18
1+8
9
7
-
7
-
-
-
-
-
-
7
-
-
7
-
-
-
7
-
-
-
-
-
-
-
8
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
8
-
-
-
-
-
-
-
-
-
-
-
9
9
9
-
-
-
9
9
-
-
-
-
9
occurs
x
5
=
45
4+5
9
24
11
O
S
I
R
I
S
-
O
R
I
O
N
-
-
21
-
-
15
-
70
-
27
2+4
1+1
-
-
9
9
9
-
-
-
9
9
-
-
-
-
2+1
-
-
1+5
-
7+0
-
2+7
6
2
O
S
I
R
I
S
-
O
R
I
O
N
-
-
3
-
-
6
-
7
-
9
-
-
6
1
9
9
9
1
-
6
9
9
6
5
-
-
-
-
-
-
-
-
-
-
6
2
O
S
I
R
I
S
-
O
R
I
O
N
-
-
3
-
-
6
-
7
-
9

 

 

11
O
S
I
R
I
S
-
O
R
I
O
N
-
-
-
-
-
--
-
-
-
-
-
6
1
9
-
9
1
-
6
-
9
6
5
+
=
52
5+2
=
7
=
7
=
7
`-
15
19
9
-
9
19
-
15
-
9
15
14
+
=
124
1+2+4
=
7
=
7
=
7
11
O
S
I
R
I
S
-
O
R
I
O
N
-
-
-
-
-
--
-
-
-
-
-
-
-
-
9
-
-
-
-
9
-
-
-
+
=
18
1+8
=
9
=
9
=
9
`-
-
-
-
18
-
-
-
-
18
-
-
-
+
=
36
3+6
=
9
=
9
=
9
11
O
S
I
R
I
S
-
O
R
I
O
N
-
-
-
-
-
--
-
-
-
-
`-
15
19
9
18
9
19
-
15
18
9
15
14
+
=
160
1+6+0
=
7
=
7
=
7
-
6
1
9
9
9
1
-
6
9
9
6
5
+
=
70
7+0
=
7
=
7
=
7
11
O
S
I
R
I
S
-
O
R
I
O
N
T
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
1
-
-
-
-
-
-
-
-
1
occurs
x
2
=
2
=
2
-
-
-
-
-
-
-
-
-
-
-
-
5
-
-
5
occurs
x
1
=
5
=
5
-
6
-
-
-
-
-
-
6
-
-
6
-
-
-
6
occurs
x
3
=
18
1+8
9
-
-
-
9
9
9
-
-
-
9
9
-
-
-
-
9
occurs
x
5
=
45
4+5
9
11
O
S
I
R
I
S
-
O
R
I
O
N
-
-
21
-
-
15
-
70
-
27
1+1
-
-
9
9
9
-
-
-
9
9
-
-
-
-
2+1
-
-
1+5
-
7+0
-
2+7
2
O
S
I
R
I
S
-
O
R
I
O
N
-
-
3
-
-
6
-
7
-
9
-
6
1
9
9
9
1
-
6
9
9
6
5
-
-
-
-
-
-
-
-
-
-
2
O
S
I
R
I
S
-
O
R
I
O
N
-
-
3
-
-
6
-
7
-
9

 

 

O
=
6
-
6
ORION OSIRIS
160
70
7
S
=
1
-
-
NOSIS
76
22
4
S
=
1
-
-
SON IS
76
22
4
S
=
1
-
-
IS SON
76
22
4
S
=
1
-
-
NOSIS
76
22
4
O
=
6
-
6
ORION OSIRIS
160
70
7

 

GNOSIS GOD KNOWS THIS THAT THIS KNOWS GOD GNOSIS

 

 

3
THE
33
15
6
6
GOLDEN
57
30
3
6
GIRDLE
55
37
1
15
First Total
145
82
10
1+5
Add to Reduce
1+4+5
8+2
1+0
6
Second Total
10
10
1
-
Reduce to Deduce
1+0
1+0
-
6
Essence of Number
1
1
1

 

 

6
ORIONS
90
36
9
4
BELT
39
12
3
10
First Total
129
48
12
1+0
Add to Reduce
1+2+9
4+8
1+2
1
Second Total
12
12
3
-
Reduce to Deduce
1+2
1+2
-
1
Essence of Number
3
3
3

 

 

6
OSIRIS
89
35
8
2
IS
28
10
1
4
LORD
49
22
4
2
OF
21
12
3
4
TIME
47
20
2
18
First Total
234
99
9
1+8
Add to Reduce
2+3+4
9+9
-
9
Second Total
9
18
9
-
Reduce to Deduce
-
1+8
-
9
Essence of Number
9
9
9

 

 

-
10
L
O
R
D
-
O
F
-
T
I
M
E
-
-
-
-
-
--
-
-
-
-
-
-
-
6
-
-
-
6
-
-
-
9
-
-
+
=
21
2+1
=
3
=
3
=
3
-
-
-
15
-
-
-
15
-
-
-
9
-
-
+
=
39
3+9
=
12
1+2
3
=
3
-
10
L
O
R
D
-
O
F
-
T
I
M
E
-
-
-
-
-
--
-
-
-
-
-
-
3
-
9
4
-
-
6
-
2
-
4
5
+
=
33
3+3
=
6
=
6
=
6
-
-
12
-
18
4
-
-
6
-
20
-
13
5
+
=
78
7+8
=
15
1+5
6
=
6
-
10
L
O
R
D
-
O
F
-
T
I
M
E
-
-
-
-
-
--
-
-
-
-
-
-
12
15
18
4
-
15
6
-
20
9
13
5
+
=
117
1+1+7
=
9
=
9
=
9
-
-
3
6
9
4
-
6
6
-
2
9
4
5
+
=
54
5+4
=
9
=
9
=
9
-
10
L
O
R
D
-
O
F
-
T
I
M
E
-
-
-
-
-
--
-
-
-
-
1
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
2
-
-
-
-
-
2
occurs
x
1
=
2
=
2
-
-
3
-
-
-
-
-
-
-
-
-
-
-
-
-
3
occurs
x
1
=
3
=
3
-
-
-
-
-
4
-
-
-
-
-
-
4
-
-
-
4
occurs
x
2
=
8
=
8
-
-
-
-
-
-
-
-
-
-
-
-
-
5
-
-
5
occurs
x
1
=
5
=
5
-
-
-
6
-
-
-
6
6
-
-
-
-
-
-
-
6
occurs
x
3
=
18
1+8
9
7
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
7
-
-
-
-
-
-
-
8
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
8
-
-
-
-
-
-
-
-
-
-
-
9
-
-
-
-
-
-
9
-
-
-
-
9
occurs
x
2
=
18
1+8
9
16
10
L
O
R
D
-
O
F
-
T
I
M
E
-
-
29
-
-
10
-
54
Q
36
1+6
1+0
-
6
-
-
-
6
6
-
-
-
-
-
-
-
2+9
-
-
1+0
-
5+4
-
3+6
7
1
L
O
R
D
-
O
F
-
T
I
M
E
-
-
11
-
-
1
-
9
Q
9
-
-
3
6
9
4
-
6
6
-
2
9
4
5
-
-
1+1
-
-
-
-
-
-
-
7
1
L
O
R
D
-
O
F
-
T
I
M
E
-
-
1
-
-
1
-
9
-
9

 

 

10
L
O
R
D
-
O
F
-
T
I
M
E
-
-
-
-
-
--
-
-
-
-
-
-
6
-
-
-
6
-
-
-
9
-
-
+
=
21
2+1
=
3
=
3
=
3
-
-
15
-
-
-
15
-
-
-
9
-
-
+
=
39
3+9
=
12
1+2
3
=
3
10
L
O
R
D
-
O
F
-
T
I
M
E
-
-
-
-
-
--
-
-
-
-
-
3
-
9
4
-
-
6
-
2
-
4
5
+
=
33
3+3
=
6
=
6
=
6
-
12
-
18
4
-
-
6
-
20
-
13
5
+
=
78
7+8
=
15
1+5
6
=
6
10
L
O
R
D
-
O
F
-
T
I
M
E
-
-
-
-
-
--
-
-
-
-
-
12
15
18
4
-
15
6
-
20
9
13
5
+
=
117
1+1+7
=
9
=
9
=
9
-
3
6
9
4
-
6
6
-
2
9
4
5
+
=
54
5+4
=
9
=
9
=
9
10
L
O
R
D
-
O
F
-
T
I
M
E
-
-
-
-
-
--
-
-
-
-
-
-
-
-
-
-
-
-
-
2
-
-
-
-
-
2
occurs
x
1
=
2
=
2
-
3
-
-
-
-
-
-
-
-
-
-
-
-
-
3
occurs
x
1
=
3
=
3
-
-
-
-
4
-
-
-
-
-
-
4
-
-
-
4
occurs
x
2
=
8
=
8
-
-
-
-
-
-
-
-
-
-
-
-
5
-
-
5
occurs
x
1
=
5
=
5
-
-
6
-
-
-
6
6
-
-
-
-
-
-
-
6
occurs
x
3
=
18
1+8
9
-
-
-
9
-
-
-
-
-
-
9
-
-
-
-
9
occurs
x
2
=
18
1+8
9
10
L
O
R
D
-
O
F
-
T
I
M
E
-
-
29
-
-
10
-
54
Q
36
1+0
-
6
-
-
-
6
6
-
-
-
-
-
-
-
2+9
-
-
1+0
-
5+4
-
3+6
1
L
O
R
D
-
O
F
-
T
I
M
E
-
-
11
-
-
1
-
9
Q
9
-
3
6
9
4
-
6
6
-
2
9
4
5
-
-
1+1
-
-
-
-
-
-
-
1
L
O
R
D
-
O
F
-
T
I
M
E
-
-
1
-
-
1
-
9
-
9

 

 

3
LEO
32
14
5
7
REGULUS
103
31
4
10
Add to Reduce
162
45
9
1+0
Reduce to Deduce
1+6+2
4+5
-
1
Essence of Number
9
9
9

 

 

3
THE
33
15
6
13
CONSTELLATION
159
51
6
2
OF
21
12
3
3
LEO
32
14
5
21
First Total
245
92
20
2+1
Add to Reduce
2+4+5
9+2
2+0
3
Second Total
11
11
2
-
Reduce to Deduce
1+1
1+1
-
3
Essence of Number
2
2
2

 

 

L
=
3
4
LION
50
23
5
K
=
2
4
KING
41
23
5
-
-
5
8
First Total
91
46
10
-
-
-
-
Add to Reduce
9+1
4+6
1+0
Q
-
5
8
Second Total
10
10
1
-
-
-
-
Reduce to Deduce
1+0
1+0
-
-
-
5
8
Essence of Number
1
1
1

 

 

5
HORUS
81
27
9

 

 

7
GODSEND
68
32
5

 

 

3
THE
33
15
6
3
GOD
26
17
8
7
PATTERN
94
31
4
13
Add to Reduce
153
63
18
1+3
Reduce to Deduce
1+5+3
6+3
1+8
4
Essence of Number
9
9
9

 

 

-
THE SOLAR SYSTEM
-
-
-
3
THE
33
15
6
5
SOLAR
65
29
2
6
SYSTEM
101
38
2
14
THE SOLAR SYSTEM
199
82
10
1+4
-
1+9+9
8+2
1+0
5
THE SOLAR SYSTEM
19
10
1
-
-
1+9
1+0
-
5
THE SOLAR SYSTEM
10
1
1
-
-
1+0
-
-
5
THE SOLAR SYSTEM
1
1
1

 

 

3
SUN
54
9
9
7
MERCURY
103
40
4
5
VENUS
81
18
9
5
EARTH
52
25
7
4
MOON
57
21
3
4
MARS
51
15
6
7
JUPITER
99
36
9
6
SATURN
93
21
3
6
URANUS
94
22
4
7
NEPTUNE
95
32
5
5
PLUTO
84
21
3
59
First Total
863
260
62
5+9
Add to Reduce
8+6+3
2+6
6+2
16
Second Total
17
8
8
1+6
Reduce to Deduce
1+7
-
-
7
Essence of Number
8
8
8

 

 

3
SUN
54
9
9
5
EARTH
52
25
7
4
MOON
57
21
3
12
First Total
163
55
19
1+2
Add to Reduce
1+6+3
5+5
6+2
3
Second Total
10
10
10
-
Reduce to Deduce
1+0
1+0
1+0
3
Essence of Number
7
7
7

 

 

4
GODS
45
18
9
6
SPIRIT
91
37
1
4
ISIS
56
38
2
6
OSIRIS
89
35
8
6
VISHNU
93
30
3
5
SHIVA
59
59
5
7
KRISHNA
80
35
8
7
SHRISTI
102
39
3
5
RISHI
63
36
9
4
ISHI
45
27
9
6
CHRIST
77
32
5

 

 

GODS SPIRIT GODS

ISIS OSIRIS VISHNU SHIVA SHRI KRISHNA SHRISTI RISHI ISHI CHRIST

SING A SONG OF NINES OF NINES A SONG SING

 

 

THE

HALLELUJA CHORUS CHORUS HALLELUJAH

HALLELUJA SEE HORUS HORUS SEE HALLELUJAH

HALLELUJA HOURS OF HORUS HORUS OF HOURS HALLELUJAH

 

 

T
=
2
-
3
THE
33
15
6
A
=
1
-
4
AMEN
33
15
6
N
=
5
-
4
NAME
33
15
6
N
=
5
-
5
NAMES
52
16
7
N
=
5
-
7
NAMASTE
73
19
1

 

 

-
7
N
A
M
A
S
T
E
-
-
-
-
-
-
-
-
-
=
-
-
5
-
-
-
1
-
-
+
=
6
-
=
6
=
6
=
6
-
`-
14
-
-
-
19
-
-
+
=
33
3+3
=
6
=
6
=
6
-
7
N
A
M
A
S
T
E
-
-
-
-
-
-
-
-
-
=
-
-
-
1
4
1
-
2
5
+
=
13
1+3
=
4
=
4
=
4
-
`-
-
1
13
1
-
20
5
+
=
40
4+0
=
4
=
4
=
4
-
7
N
A
M
A
S
T
E
-
-
-
-
-
-
-
-
-
=
-
`-
14
1
13
1
19
20
5
+
=
73
7+3
=
10
1+0
1
=
1
-
-
5
1
4
1
1
2
5
+
=
19
1+9
=
10
1+0
1
=
1
-
7
N
A
M
A
S
T
E
-
-
-
-
-
-
-
-
-
-
-
-
-
1
-
1
1
-
-
-
-
1
occurs
x
3
=
3
=
3
-
-
-
-
-
-
-
2
-
-
-
2
occurs
x
1
=
2
=
2
3
-
-
-
-
-
-
-
-
-
-
3
-
-
-
-
-
-
-
-
-
-
-
4
-
-
-
-
-
-
4
occurs
x
1
=
4
=
4
-
-
5
-
-
-
-
-
5
-
-
5
occurs
x
2
=
10
1+0
1
6
-
-
-
-
-
-
-
-
-
-
6
-
-
-
-
-
-
-
7
-
-
-
-
-
-
-
-
-
-
7
-
-
-
-
-
-
-
8
-
-
-
-
-
-
-
-
-
-
8
-
-
-
-
-
-
-
9
-
-
-
-
-
-
-
-
-
-
9
-
-
-
-
-
-
-
33
7
N
A
M
A
S
T
E
-
-
12
-
-
7
-
19
-
10
3+3
-
-
-
-
-
-
-
-
-
-
1+2
-
-
-
-
1+9
-
1+0
6
7
N
A
M
A
S
T
E
-
-
3
-
-
7
-
10
-
1
-
-
5
1
4
1
1
2
5
-
-
-
-
-
-
-
1+0
-
-
6
7
N
A
M
A
S
T
E
-
-
3
-
-
7
-
1
-
1

 

 

7
N
A
M
A
S
T
E
-
-
-
-
-
-
-
-
-
=
-
5
-
-
-
1
-
-
+
=
6
-
=
6
=
6
=
6
`-
14
-
-
-
19
-
-
+
=
33
3+3
=
6
=
6
=
6
7
N
A
M
A
S
T
E
-
-
-
-
-
-
-
-
-
=
-
-
1
4
1
-
2
5
+
=
13
1+3
=
4
=
4
=
4
`-
-
1
13
1
-
20
5
+
=
40
4+0
=
4
=
4
=
4
7
N
A
M
A
S
T
E
-
-
-
-
-
-
-
-
-
=
`-
14
1
13
1
19
20
5
+
=
73
7+3
=
10
1+0
1
=
1
-
5
1
4
1
1
2
5
+
=
19
1+9
=
10
1+0
1
=
1
7
N
A
M
A
S
T
E
-
-
-
-
-
-
-
-
-
-
-
-
1
-
1
1
-
-
-
-
1
occurs
x
3
=
3
=
3
-
-
-
-
-
-
2
-
-
-
2
occurs
x
1
=
2
=
2
-
-
-
4
-
-
-
-
-
-
4
occurs
x
1
=
4
=
4
-
5
-
-
-
-
-
5
-
-
5
occurs
x
2
=
10
1+0
1
7
N
A
M
A
S
T
E
-
-
12
-
-
7
-
19
-
10
-
-
-
-
-
-
-
-
-
-
1+2
-
-
-
-
1+9
-
1+0
7
N
A
M
A
S
T
E
-
-
3
-
-
7
-
10
-
1
-
5
1
4
1
1
2
5
-
-
-
-
-
-
-
1+0
-
-
7
N
A
M
A
S
T
E
-
-
3
-
-
7
-
1
-
1

 

 

O
=
6
-
6
ORION OSIRIS
160
70
7
S
=
1
-
-
NOSIS
76
22
4
S
=
1
-
-
SON IS
76
22
4
S
=
1
-
-
IS SON
76
22
4
S
=
1
-
-
NOSIS
76
22
4
O
=
6
-
6
ORION OSIRIS
160
70
7

 

GNOSIS GOD KNOWS THIS THAT THIS KNOWS GOD GNOSIS

 

 

4
GODS
45
18
9
6
SPIRIT
91
37
1
4
ISIS
56
38
2
6
OSIRIS
89
35
8
6
VISHNU
93
30
3
5
SHIVA
59
59
5
7
KRISHNA
80
35
3
7
SHRISTI
102
39
3
5
RISHI
63
36
9
4
ISHI
45
27
9
6
CHRIST
77
32
5

 

 

GODS SPIRIT GODS

ISIS OSIRIS VISHNU SHIVA SHRI KRISHNA SHRISTI RISHI ISHI CHRIST

SING A SONG OF NINES OF NINES A SONG SING

 

 

THE

HALLELUJA CHORUS CHORUS HALLELUJAH

HALLELUJA SEE HORUS HORUS SEE HALLELUJAH

HALLELUJA HOURS OF HORUS HORUS OF HOURS HALLELUJAH

 

 

SCHRODINGERS CAT SCHRODINGERS

 

S
=
1
-
12
SCHRODINGERS
139
67
4
C
=
3
-
3
CAT
24
6
6
D
=
4
-
3
DID
17
17
8
C
=
3
-
10
CURIOUSITY
160
52
7
K
=
2
-
4
KILL
44
17
6
T
=
2
-
3
THE
33
15
6
C
=
3
-
3
CAT
24
6
6
-
-
18
4
38
First Total
441
180
19
-
-
1+8
-
3+8
Add to Reduce
4+4+1
1+8+0
6+2
-
-
9
-
11
Second Total
9
10
10
4
4
-
4
1+1
Reduce to Deduce
-
1+0
1+0
Q
-
9
5
2
Essence of Number
9
7
7

 

 

F
=
6
-
3
FOR
39
21
3
E
=
5
-
5
EVERY
75
30
3
A
=
1
-
6
ACTION
62
26
8
T
=
2
-
5
THERE
56
29
2
I
=
9
-
2
IS
28
19
1
A
=
1
-
2
AN
15
6
6
E
=
5
-
5
EQUAL
56
20
2
A
=
1
-
3
AND
19
10
1
O
=
6
-
8
OPPOSITE
115
43
7
R
=
9
-
8
REACTION
85
40
4
-
-
45
4
46
First Total
550
244
37
-
-
4+5
-
4+6
Add to Reduce
5+5+0
2+4+4
3+7
Q
-
9
-
10
Second Total
10
10
10
-
-
-
4
1+0
Reduce to Deduce
1+0
1+0
1+0
-
-
9
5
1
Essence of Number
1
1
1

 

 

GODIS EVERYTHING EVERYTHING ISGOD

THEREFORE I QUESTION I QUESTION I THEREFORE

?

R U GODS I ME I ME I GODS U R

 

 

0
4
ZERO
64
28
1
1
6
ONE
34
16
7
2
2
TWO
58
13
4
3
2
THREE
56
29
2
4
6
FOUR
60
24
6
5
6
FIVE
42
24
6
6
1
SIX
52
16
7
7
1
SEVEN
65
20
2
8
5
EIGHT
49
31
4
9
5
NINE
42
24
6
45
38
Add
522
225
45
4+5
3+8
Reduce
5+2+2
2+2+5
4+5
9
11
Deduce
9
9
9
4+5
3+8
Produce
5+2+2
2+2+5
4+5
9
11
Essence
9
9
9

 

 

0
4
ZERO
64
28
1
1
6
ONE
34
16
7
2
2
TWO
58
13
4
3
2
THREE
56
29
2
4
6
FOUR
60
24
6
5
6
FIVE
42
24
6
6
1
SIX
52
16
7
7
1
SEVEN
65
20
2
8
5
EIGHT
49
31
4
9
5
NINE
42
24
6
45
38
Add
522
225
45
4+5
3+8
Reduce
5+2+2
2+2+5
4+5
9
11
Deduce
9
9
9
4+5
3+8
Produce
5+2+2
2+2+5
4+5
9
11
Essence
9
9
9

 

 

3
THE
33
15
6
3
GOD
26
17
8
7
PATTERN
94
31
4
13
Add to Reduce
153
63
18
1+3
Reduce to Deduce
1+5+3
6+3
1+8
4
Essence of Number
9
9
9

 

 

ARE ARHATS STARS STARS ARHATS ARE

R RATS STARS STARS RATS R

HARD IS THE WAY THE WAY IS HARD

 

 

THE

PATH OF PTAH

THAT ISISIS ISISIS THAT

THAT

THOUGHT

THINKING KINGS KIN ALWAYS DRINKING

THE

WATERS OF LIFE IN ENDLESS CYCLE

THAT

IS

THE WAY THE ONLY WAY

THE

RIVER OF LIFE AND DEATH

THAT THAT THAT

THAT ISISIS ISISIS THAT

NEVER ENDING CYCLE OF CREATIVE LIFE

BORN OUT OF AWARENESS INTO OBLIVION OUT OF OBLIVION INTO AWARENESS

ACTION IN ACTION IN ACTION IN ACTION

CREATORS THOUGHT DIVINE LAW GODS LAW DIVINE THOUGHT CREATORS

 

 

I

ME

A

SELF OF KNOWLEDGE AKNOWLEDGE KNOWLEDGE OF SELF

THAT

I ME I SELF I ME I

IS

KNOWLEDGE

OF NO SELF AT ALL

 

 

-
6
O
R
I
E
N
T
-
-
-
-
-
--
-
-
-
-
-
-
6
-
9
-
5
-
+
=
20
2+0
=
2
=
2
-
2
-
`-
15
-
9
-
14
-
+
=
38
3+8
=
11
1+1
2
-
2
-
6
O
R
I
E
N
T
-
-
-
-
-
--
-
-
-
-
-
-
-
9
-
5
-
2
+
=
16
1+6
=
7
=
7
-
7
-
`-
-
18
-
5
-
20
+
=
43
4+3
=
7
=
7
-
7
-
6
O
R
I
E
N
T
-
-
-
-
-
--
-
-
-
-
-
`-
15
18
9
5
14
20
+
=
81
8+1
=
9
=
9
-
9
-
-
6
9
9
5
5
2
+
=
36
3+6
=
9
=
9
-
9
-
6
O
R
I
E
N
T
T
-
-
-
-
-
-
-
-
-
1
-
-
3
-
-
-
-
-
-
1
-
-
-
-
-
-
-
-
-
-
3
-
-
-
2
-
-
2
occurs
x
1
=
2
-
2
3
-
-
3
-
-
-
-
-
-
3
-
-
-
-
-
-
-
4
-
-
-
--
-
-
-
-
-
4
-
-
-
-
-
-
-
-
-
-
-
-
5
5
-
-
-
5
occurs
x
2
=
10
1+0
1
-
-
6
-
-
-
-
-
-
-
6
occurs
x
1
=
6
-
6
7
-
7
-
-
-
-
-
-
-
7
-
-
-
-
-
-
-
8
-
-
-
-
-
-
-
-
-
8
-
-
-
-
-
-
-
-
-
-
9
9
-
-
-
-
-
9
occurs
x
2
=
18
1+8
9
23
6
O
R
I
E
N
T
-
-
22
-
-
6
-
36
-
187
2+3
-
-
9
9
-
-
-
-
-
2+2
-
-
-
-
3+6
-
1+8
5
6
O
R
I
E
N
T
-
-
4
-
-
6
-
9
-
9
-
-
6
9
9
5
5
2
-
-
-
-
-
-
-
-
-
-
5
6
O
R
I
E
N
T
-
-
4
-
-
6
-
9
-
9

 

 

6
O
R
I
E
N
T
-
-
-
-
-
--
-
-
-
-
-
6
-
9
-
5
-
+
=
20
2+0
=
2
=
2
-
2
`-
15
-
9
-
14
-
+
=
38
3+8
=
11
1+1
2
-
2
6
O
R
I
E
N
T
-
-
-
-
-
--
-
-
-
-
-
-
9
-
5
-
2
+
=
16
1+6
=
7
=
7
-
7
`-
-
18
-
5
-
20
+
=
43
4+3
=
7
=
7
-
7
6
O
R
I
E
N
T
-
-
-
-
-
--
-
-
-
-
`-
15
18
9
5
14
20
+
=
81
8+1
=
9
=
9
-
9
-
6
9
9
5
5
2
+
=
36
3+6
=
9
=
9
-
9
6
O
R
I
E
N
T
T
-
-
-
-
-
-
-
-
-
-
-
3
-
-
-
2
-
-
2
occurs
x
1
=
2
-
2
-
-
-
-
5
5
-
-
-
5
occurs
x
2
=
10
1+0
1
-
6
-
-
-
-
-
-
-
6
occurs
x
1
=
6
-
6
-
-
9
9
-
-
-
-
-
9
occurs
x
2
=
18
1+8
9
6
O
R
I
E
N
T
-
-
22
-
-
6
-
36
-
187
-
-
9
9
-
-
-
-
-
2+2
-
-
-
-
3+6
-
1+8
6
O
R
I
E
N
T
-
-
4
-
-
6
-
9
-
9
-
6
9
9
5
5
2
-
-
-
-
-
-
-
-
-
-
6
O
R
I
E
N
T
-
-
4
-
-
6
-
9
-
9

 

 

-
11
O
R
I
E
N
T
A
T
I
O
N
-
-
-
-
-
--
-
-
-
-
-
-
6
-
9
-
5
-
-
-
9
6
5
+
=
40
4+0
=
4
-
4
-
4
-
`-
15
-
9
-
14
-
-
-
9
15
14
+
=
76
7+6
=
13
1+3
4
-
4
-
11
O
R
I
E
N
T
A
T
I
O
N
-
-
-
-
-
--
-
-
-
-
-
-
-
9
-
5
-
2
1
2
-
-
-
+
=
19
1+9
=
10
1+0
1
-
1
-
`-
-
18
-
5
-
20
1
20
-
-
-
+
=
64
6+4
=
10
1+0
1
-
1
-
11
O
R
I
E
N
T
A
T
I
O
N
-
-
-
-
-
--
-
-
-
-
-
`-
15
18
9
5
14
20
1
20
9
15
14
+
=
140
1+4+0
=
5
-
5
-
5
-
-
6
9
9
5
5
2
1
2
9
6
5
+
=
59
5+9
=
14
1+4
5
-
5
-
11
O
R
I
E
N
T
A
T
I
O
N
T
-
-
-
-
-
-
-
-
-
-
-
-
3
-
-
-
-
1
-
-
-
-
-
-
1
occurs
x
1
=
1
-
1
-
-
-
3
-
-
-
2
-
2
-
-
-
-
-
2
occurs
x
2
=
4
-
4
3
-
-
3
-
-
-
-
-
-
-
-
-
-
-
3
-
-
-
-
-
-
-
4
-
-
-
--
-
-
-
-
-
--
-
-
-
-
4
-
-
-
-
-
-
-
-
-
-
-
-
5
5
-
-
-
-
-
5
-
-
5
occurs
x
3
=
15
1+5
6
-
-
6
-
-
-
-
-
-
-
-
6
-
-
-
6
occurs
x
2
=
12
1+2
3
7
-
7
-
-
-
-
-
-
-
-
7
-
-
-
7
-
-
-
-
-
-
-
8
-
-
-
-
-
-
-
-
-
-
-
-
-
-
8
-
-
-
-
-
-
-
-
-
-
9
9
-
-
-
-
-
9
-
-
-
-
9
occurs
x
3
=
27
2+7
9
22
11
O
R
I
E
N
T
A
T
I
O
N
-
-
23
-
-
11
-
59
-
23
2+2
1+1
-
9
9
-
-
-
-
-
9
-
-
-
-
2+3
-
-
1+1
-
5+9
-
2+3
4
2
O
R
I
E
N
T
A
T
I
O
N
-
-
5
-
-
2
-
14
-
5
-
-
6
9
9
5
5
2
2
2
9
6
5
-
-
-
-
-
-
-
1+4
-
-
4
2
O
R
I
E
N
T
A
T
I
O
N
-
-
5
-
-
2
-
5
-
5

 

 

11
O
R
I
E
N
T
A
T
I
O
N
-
-
-
-
-
--
-
-
-
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Mintaka /'m?nt?k?/, designation Delta Orionis

Alnitak (Zeta Orionis)

Alnilam (Epsilon Orionis)

the three stars form Orion's Belt,

 

Mintaka /'m?nt?k?/, designation Delta Orionis (d Orionis, abbreviated Delta Ori, d Ori) and 34 Orionis (34 Ori), is a multiple star system some 1,200 light-years from the Sun in the constellation of Orion. Together with Alnitak (Zeta Orionis) and Alnilam (Epsilon Orionis), the three stars form Orion's Belt, known by many …

One of the most obvious features people see in Orion is the three stars that make up what most people consider the belt of the giant. Mintaka , the westernmost star in the belt, comes from the Arabic word for belt. Alnilam, the center star in the belt, means "a belt of pearls". And Alnitak, the eastern-most star, means the girdle. All three are at the same distance from us and, with Rigel, Saiph, and Meissa, probably formed at about the same time some ten million years ago from the molecular clouds astronomers have found in Orion.

Orion's Belt - Wikipedia

Wikipedia
https://en.wikipedia.org › wiki › Orion's_Belt

Orion is a prominent constellation located on the celestial equator and visible throughout the world. It is one of the most conspicuous[1] and recognizable constellations in the night sky.[2] It is named after Orion, a hunter in Greek mythology. Its brightest stars are the blue-white Rigel (Beta Orionis) and the red Betelgeuse (Alpha Orionis).

Orion is bordered by Taurus to the northwest, Eridanus to the southwest, Lepus to the south, Monoceros to the east, and Gemini to the northeast. Covering 594 square degrees, Orion ranks twenty-sixth of the 88 constellations in size. The constellation boundaries, as set by Belgian astronomer Eugène Delporte in 1930, are defined by a polygon of 26 sides. In the equatorial coordinate system, the right ascension coordinates of these borders lie between 04h 43.3m and 06h 25.5m , while the declination coordinates are between 22.87° and -10.97°.[3] The constellation's three-letter abbreviation, as adopted by the International Astronomical Union in 1922, is "Ori".[4]

Orion is most visible in the evening sky from January to April,[5] winter in the Northern Hemisphere, and summer in the Southern Hemisphere. In the tropics (less than about 8° from the equator), the constellation transits at the zenith.

In the period May–July (summer in the Northern Hemisphere, winter in the Southern Hemisphere), Orion is in the daytime sky and thus invisible at most latitudes. However, for much of Antarctica in the Southern Hemisphere's winter months, the Sun is below the horizon even at midday. Stars (and thus Orion, but only the brightest stars) are then visible at twilight for a few hours around local noon, just in the brightest section of the sky low in the North where the Sun is just below the horizon. At the same time of day at the South Pole itself (Amundsen–Scott South Pole Station), Rigel is only 8° above the horizon, and the Belt sweeps just along it. In the Southern Hemisphere's summer months, when Orion is normally visible in the night sky, the constellation is actually not visible in Antarctica because the sun does not set at that time of year south of the Antarctic Circle.[6][7]

In countries close to the equator (e.g., Kenya, Indonesia, Colombia, Ecuador), Orion appears overhead in December around midnight and in the February evening sky.

Orion's seven brightest stars form a distinctive hourglass-shaped asterism, or pattern, in the night sky. Four stars—Rigel, Betelgeuse, Bellatrix, and Saiph—form a large roughly rectangular shape, at the center of which lies the three stars of Orion's Belt—Alnitak, Alnilam, and Mintaka. His head is marked by an additional 8th star called Meissa, which is fairly bright to the observer. Descending from the "belt" is a smaller line of three stars, Orion's Sword (the middle of which is in fact not a star but the Orion Nebula), also known as the hunter's sword.

Many of the stars are luminous hot blue supergiants, with the stars of the belt and sword forming the Orion OB1 association. Standing out by its red hue, Betelgeuse may nevertheless be a runaway member of the same group.

Stars of the constellation by distance (red-green 3D view) and the brightness of each star (star size)
Bright stars
Betelgeuse, also designated Alpha Orionis, is a massive M-type red supergiant star nearing the end of its life. It is the second brightest star in Orion, and is a semiregular variable star.[9] It serves as the "right shoulder" of the hunter it represents (assuming that he is facing the observer). It is generally the eleventh brightest star in the night sky, but this has varied between being the tenth brightest to the 23rd brightest by the end of 2019.[10][11] The end of its life is expected to result in a supernova explosion that will be highly visible from Earth, possibly outshining the Earth's moon and being visible during the day. This is most likely to occur within the next 100,000 years.[12]
Rigel, also known as Beta Orionis, is a B-type blue supergiant that is the sixth brightest star in the night sky. Similar to Betelgeuse, Rigel is fusing heavy elements in its core and will pass its supergiant stage soon (on an astronomical timescale), either collapsing in the case of a supernova or shedding its outer layers and turning into a white dwarf. It serves as the left foot of Orion, the hunter.[13]
Bellatrix is designated Gamma Orionis by Johann Bayer. It is the twenty-seventh brightest star in the night sky. Bellatrix is considered a B-type blue giant, though it is too small to explode in a supernova. Bellatrix's luminosity is derived from its high temperature rather than a large radius.[14] Bellatrix marks Orion's left shoulder and it means the "female warrior", and is sometimes known colloquially as the "Amazon Star".[15] It is the closest major star in Orion at only 244.6 light years.
Mintaka is designated Delta Orionis, despite being the faintest of the three stars in Orion's Belt. Its name means "the belt". It is a multiple star system, composed of a large B-type blue giant and a more massive O-type main-sequence star. The Mintaka system constitutes an eclipsing binary variable star, where the eclipse of one star over the other creates a dip in brightness. Mintaka is the westernmost of the three stars of Orion's Belt, as well as the northernmost.[8]
Alnilam is designated Epsilon Orionis and is named for the Arabic phrase meaning "string of pearls".[8] It is the middle and brightest of the three stars of Orion's Belt. Alnilam is a B-type blue supergiant; despite being nearly twice as far from the Sun as the other two belt stars, its luminosity makes it nearly equal in magnitude. Alnilam is losing mass quickly, a consequence of its size. It is the farthest major star in Orion at 1,344 light years.
Alnitak, meaning "the girdle", is designated Zeta Orionis, and is the easternmost star in Orion's Belt. It is a triple star system, with the primary star being a hot blue supergiant and the brightest class O star in the night sky.
Saiph is designated Kappa Orionis by Bayer, and serves as Orion's right foot. It is of a similar distance and size to Rigel, but appears much fainter. It means the "sword of the giant"
Meissa is designated Lambda Orionis, forms Orion's head, and is a multiple star with a combined apparent magnitude of 3.33. Its name means the "shining one".Orion's Belt or The Belt of Orion is an asterism within the constellation. It consists of the three bright stars Zeta (Alnitak), Epsilon (Alnilam), and Delta (Mintaka). Alnitak is around 800 light years away from earth and is 100,000 times more luminous than the Sun and shines with magnitude 1.8; much of its radiation is in the ultraviolet range, which the human eye cannot see.[16] Alnilam is approximately 2,000 light years away from Earth, shines with magnitude 1.70, and with ultraviolet light is 375,000 times more luminous than the Sun.[17] Mintaka is 915 light years away and shines with magnitude 2.21. It is 90,000 times more luminous than the Sun and is a double star: the two orbit each other every 5.73 days.[18] In the Northern Hemisphere, Orion's Belt is best visible in the night sky during the month of January around 9:00 pm, when it is approximately around the local meridian.[2]

Just southwest of Alnitak lies Sigma Orionis, a multiple star system composed of five stars that have a combined apparent magnitude of 3.7 and lying 1150 light years distant. Southwest of Mintaka lies the quadruple star Eta Orionis.

Sword
Orion's Sword contains the Orion Nebula, the Messier 43 nebula, the Running Man Nebula, and the stars Theta Orionis, Iota Orionis, and 42 Orionis.

Head
Three stars comprise a small triangle that marks the head. The apex is marked by Meissa (Lambda Orionis), a hot blue giant of spectral type O8 III and apparent magnitude 3.54, which lies some 1100 light years distant. Phi-1 and Phi-2 Orionis make up the base. Also nearby is the very young star FU Orionis.

Club
Stretching north from Betelgeuse are the stars that make up Orion's club. Mu Orionis marks the elbow, Nu and Xi mark the handle of the club, and Chi1 and Chi2 mark the end of the club. Just east of Chi1 is the Mira-type variable red giant U Orionis.

Shield
West from Bellatrix lie six stars all designated Pi Orionis (p1 Ori, p2 Ori, p3 Ori, p4 Ori, p5 Ori and p6 Ori) which make up Orion's shield.

Meteor showers
Around 20 October each year the Orionid meteor shower (Orionids) reaches its peak. Coming from the border with the constellation Gemini as many as 20 meteors per hour can be seen. The shower's parent body is Halley's Comet.[19]

Deep-sky objects

This view brings out many fainter features, such as Barnard's Loop.
Hanging from Orion's belt is his sword, consisting of the multiple stars ?1 and ?2 Orionis, called the Trapezium and the Orion Nebula (M42). This is a spectacular object that can be clearly identified with the naked eye as something other than a star. Using binoculars, its clouds of nascent stars, luminous gas, and dust can be observed. The Trapezium cluster has many newborn stars, including several brown dwarfs, all of which are at an approximate distance of 1,500 light-years. Named for the four bright stars that form a trapezoid, it is largely illuminated by the brightest stars, which are only a few hundred thousand years old. Observations by the Chandra X-ray Observatory show both the extreme temperatures of the main stars—up to 60,000 kelvins—and the star forming regions still extant in the surrounding nebula.[20]

M78 (NGC 2068) is a nebula in Orion. With an overall magnitude of 8.0, it is significantly dimmer than the Great Orion Nebula that lies to its south; however, it is at approximately the same distance, at 1600 light-years from Earth. It can easily be mistaken for a comet in the eyepiece of a telescope. M78 is associated with the variable star V351 Orionis, whose magnitude changes are visible in very short periods of time.[21] Another fairly bright nebula in Orion is NGC 1999, also close to the Great Orion Nebula. It has an integrated magnitude of 10.5 and is 1500 light-years from Earth. The variable star V380 Orionis is embedded in NGC 1999.[22]

Another famous nebula is IC 434, the Horsehead Nebula, near ? Orionis. It contains a dark dust cloud whose shape gives the nebula its name.

NGC 2174 is an emission nebula located 6400 light-years from Earth.

Besides these nebulae, surveying Orion with a small telescope will reveal a wealth of interesting deep-sky objects, including M43, M78, as well as multiple stars including Iota Orionis and Sigma Orionis. A larger telescope may reveal objects such as the Flame Nebula (NGC 2024), as well as fainter and tighter multiple stars and nebulae. Barnard's Loop can be seen on very dark nights or using long-exposure photography.

All of these nebulae are part of the larger Orion molecular cloud complex, which is located approximately 1,500 light-years away and is hundreds of light-years across. It is one of the most intense regions of stellar formation visible within our galaxy.

History and mythology
The earliest known depiction linked to the constellation of Orion is a prehistoric (Aurignacian) mammoth ivory carving found in a cave in the Ach valley in West Germany in 1979. Archaeologists estimate that it is 32,000 to 38,000 years old.[23][24][25] The distinctive pattern of Orion is recognized in numerous cultures around the world, and many myths are associated with it. Orion is used as a symbol in the modern world.

Ancient Near East

Orion (constellation) Art
The Babylonian star catalogues of the Late Bronze Age name Orion MULSIPA.ZI.AN.NA,[note 1] "The Heavenly Shepherd" or "True Shepherd of Anu" – Anu being the chief god of the heavenly realms.[26] The Babylonian constellation is sacred to Papshukal and Ninshubur, both minor gods fulfilling the role of 'messenger to the gods'. Papshukal is closely associated with the figure of a walking bird on Babylonian boundary stones, and on the star map the figure of the Rooster is located below and behind the figure of the True Shepherd—both constellations represent the herald of the gods, in his bird and human forms respectively.[27]

In ancient Egypt, the stars of Orion were regarded as a god, called Sah. Because Orion rises before Sirius, the star whose heliacal rising was the basis for the Solar Egyptian calendar, Sah was closely linked with Sopdet, the goddess who personified Sirius. The god Sopdu is said to be the son of Sah and Sopdet. Sah is syncretized with Osiris, while Sopdet is syncretized with Osiris' mythological wife, Isis. In the Pyramid Texts, from the 24th and 23rd centuries BC, Sah is one of many gods whose form the dead pharaoh is said to take in the afterlife.[28]

The Armenians identified their legendary patriarch and founder Hayk with Orion. Hayk is also the name of the Orion constellation in the Armenian translation of the Bible.[29]

The Bible mentions Orion three times, naming it "Kesil" (????, literally – fool). Though, this name perhaps is etymologically connected with "Kislev", the name for the ninth month of the Hebrew calendar (i.e. November–December), which, in turn, may derive from the Hebrew root K-S-L as in the words "kesel, kisla" (??????, ????????, hope, positiveness), i.e. hope for winter rains.: Job 9:9 ("He is the maker of the Bear and Orion"), Job 38:31 ("Can you loosen Orion's belt?"), and Amos 5:8 ("He who made the Pleiades and Orion").

In ancient Aram, the constellation was known as Nephîla', the Nephilim are said to be Orion's descendants.[30]

Greco-Roman antiquity
Main article: Orion (mythology)
In Greek mythology, Orion was a gigantic, supernaturally strong hunter,[31] born to Euryale, a Gorgon, and Poseidon (Neptune), god of the sea. One myth recounts Gaia's rage at Orion, who dared to say that he would kill every animal on Earth. The angry goddess tried to dispatch Orion with a scorpion. This is given as the reason that the constellations of Scorpius and Orion are never in the sky at the same time. However, Ophiuchus, the Serpent Bearer, revived Orion with an antidote. This is said to be the reason that the constellation of Ophiuchus stands midway between the Scorpion and the Hunter in the sky.[32]

The constellation is mentioned in Horace's Odes (Ode 3.27.18), Homer's Odyssey (Book 5, line 283) and Iliad, and Virgil's Aeneid (Book 1, line 535)

Middle East

As depicted in the 962 A.D. Persian astronomical text Book of Fixed Stars
In medieval Muslim astronomy, Orion was known as al-jabbar, "the giant".[33] Orion's sixth brightest star, Saiph, is named from the Arabic, saif al-jabbar, meaning "sword of the giant".[34]

China
In China, Orion was one of the 28 lunar mansions Sieu (Xiù) (?). It is known as Shen (?), literally meaning "three", for the stars of Orion's Belt. (See Chinese constellations)

The Chinese character ? (pinyin shen) originally meant the constellation Orion (Chinese: ??; pinyin: shenxiù); its Shang dynasty version, over three millennia old, contains at the top a representation of the three stars of Orion's belt atop a man's head (the bottom portion representing the sound of the word was added later).[35]

India
The Rigveda refers to the Orion Constellation as Mriga (The Deer).[36]

Nataraja, 'the cosmic dancer', is often interpreted as the representation of Orion. Rudra, the Rigvedic form of Shiva, is the presiding deity of Ardra nakshatra (Betelgeuse) of Hindu astrology.[37]

The Jain Symbol carved in Udayagiri and Khandagiri Caves, India in 1st century BCE[38] has striking resemblance with Orion.

Bugis sailors identified the three stars in Orion's Belt as tanra tellué, meaning "sign of three".[39]

European folklore

Star formation in the constellation Orion as photographed in infrared by NASA's Spitzer Space Telescope
In old Hungarian tradition, "Orion" is known as (magic) Archer (Íjász), or Reaper (Kaszás). In recently rediscovered myths, he is called Nimrod (Hungarian "Nimród"), the greatest hunter, father of the twins "Hunor" and "Magor". The "p" and "o" stars (on upper right) form together the reflex bow or the lifted scythe. In other Hungarian traditions, "Orion's belt" is known as "Judge's stick" (Bírópálca).[40]

In Scandinavian tradition, "Orion's belt" was known as Frigg's Distaff (friggerock) or Freyja's distaff.[41]

The Finns call Orion's belt and the stars below it Väinämöisen viikate (Väinämöinen's scythe).[42] Another name for the asterism of Alnilam, Alnitak and Mintaka is Väinämöisen vyö (Väinämöinen's Belt) and the stars "hanging" from the belt as Kalevanmiekka (Kaleva's sword).

In Siberia, the Chukchi people see Orion as a hunter; an arrow he has shot is represented by Aldebaran (Alpha Tauri), with the same figure as other Western depictions.[43]

Americas
The Seri people of northwestern Mexico call the three stars in the belt of Orion Hapj (a name denoting a hunter) which consists of three stars: Hap (mule deer), Haamoja (pronghorn), and Mojet (bighorn sheep). Hap is in the middle and has been shot by the hunter; its blood has dripped onto Tiburón Island.[44]

The same three stars are known in Spain and most of Latin America as "Las tres Marías" (Spanish for "The Three Marys"). In Puerto Rico, the three stars are known as the "Los Tres Reyes Magos" (Spanish for The three Wise Men).[45]

The Ojibwa (Chippewa) Native Americans call this constellation Kabibona'kan, the Winter Maker, as its presence in the night sky heralds winter.[citation needed]

To the Lakota Native Americans, Tayamnicankhu (Orion's Belt) is the spine of a bison. The great rectangle of Orion is the bison's ribs; the Pleiades star cluster in nearby Taurus is the bison's head; and Sirius in Canis Major, known as Tayamnisinte, is its tail. Another Lakota myth mentions that the bottom half of Orion, the Constellation of the Hand, represented the arm of a chief that was ripped off by the Thunder People as a punishment from the gods for his selfishness. His daughter offered to marry the person who can retrieve his arm from the sky, so the young warrior Fallen Star (whose father was a star and whose mother was human) returned his arm and married his daughter, symbolizing harmony between the gods and humanity with the help of the younger generation. The index finger is represented by Rigel; the Orion Nebula is the thumb; the Belt of Orion is the wrist; and the star Beta Eridani is the pinky finger.[46]

Austronesian
Main article: Heiheionakeiki
The seven primary stars of Orion make up the Polynesian constellation Heiheionakeiki which represents a child's string figure similar to a cat's cradle. Precolonial Visayans referred to it as "balatik" (ballista) as it resembles a trap of the same name which fires arrows by itself and is usually used for catching pigs from the bush.[47][48]

In Maori tradition, the star Rigel (known as Puanga or Puaka) is closely connected with the celebration of Matariki. The rising of Matariki (the Pleiades) and Rigel before sunrise in midwinter marks the start of the Maori year.[49]

Contemporary symbolism
The imagery of the belt and sword has found its way into popular western culture, for example in the form of the shoulder insignia of the 27th Infantry Division of the United States Army during both World Wars, probably owing to a pun on the name of the division's first commander, Major General John F. O'Ryan.[50][51]

The film distribution company Orion Pictures used the constellation as its logo.[52]

Depictions

Orion in the 9th century Leiden Aratea
In artistic renderings, the surrounding constellations are sometimes related to Orion: he is depicted standing next to the river Eridanus with his two hunting dogs Canis Major and Canis Minor, fighting Taurus. He is sometimes depicted hunting Lepus the hare. He sometimes is depicted to have a lion's hide in his hand.

There are alternative ways to visualise Orion. From the Southern Hemisphere, Orion is oriented south-upward, and the belt and sword are sometimes called the saucepan or pot in Australia and New Zealand. Orion's Belt is called Drie Konings (Three Kings) or the Drie Susters (Three Sisters) by Afrikaans speakers in South Africa[53] and are referred to as les Trois Rois (the Three Kings) in Daudet's Lettres de Mon Moulin (1866). The appellation Driekoningen (the Three Kings) is also often found in 17th- and 18th-century Dutch star charts and seaman's guides. The same three stars are known in Spain, Latin America, and the Philippines as "Las Tres Marías" (The Three Marys), and as "Los Tres Reyes Magos" (The three Wise Men) in Puerto Rico.[45]

Even traditional depictions of Orion have varied greatly. Cicero drew Orion in a similar fashion to the modern depiction. The Hunter held an unidentified animal skin aloft in his right hand; his hand was represented by Omicron2 Orionis and the skin was represented by the 5 stars designated Pi Orionis. Kappa and Beta Orionis represented his left and right knees, while Eta and Lambda Leporis were his left and right feet, respectively. As in the modern depiction, Delta, Epsilon, and Zeta represented his belt. His left shoulder was represented by Alpha Orionis, and Mu Orionis made up his left arm. Lambda Orionis was his head and Gamma, his right shoulder. The depiction of Hyginus was similar to that of Cicero, though the two differed in a few important areas. Cicero's animal skin became Hyginus's shield (Omicron and Pi Orionis), and instead of an arm marked out by Mu Orionis, he holds a club (Chi Orionis). His right leg is represented by Theta Orionis and his left leg is represented by Lambda, Mu, and Epsilon Leporis. Further Western European and Arabic depictions have followed these two models.[43]

Future

Animation showing Orion's proper motion from 50000 BC to 50000 AD. Pi3 Orionis moves the most rapidly.
Orion is located on the celestial equator, but it will not always be so located due to the effects of precession of the Earth's axis. Orion lies well south of the ecliptic, and it only happens to lie on the celestial equator because the point on the ecliptic that corresponds to the June solstice is close to the border of Gemini and Taurus, to the north of Orion. Precession will eventually carry Orion further south, and by AD 14000, Orion will be far enough south that it will no longer be visible from the latitude of Great Britain.[54]

Further in the future, Orion's stars will gradually move away from the constellation due to proper motion. However, Orion's brightest stars all lie at a large distance from the Earth on an astronomical scale—much farther away than Sirius, for example. Orion will still be recognizable long after most of the other constellations—composed of relatively nearby stars—have distorted into new configurations, with the exception of a few of its stars eventually exploding as supernovae, for example Betelgeuse, which is predicted to explode sometime in the next million years.[55]

 

the three stars of Orion's Belt—Alnitak, Alnilam, and Mintaka.

 

A
=
1
-
7
ALNITAK
68
23
5
A
=
1
-
7
ALNILAM
62
26
8
M
=
4
-
7
MINTAKA
69
24
6
-
-
6
-
21
First Total
199
73
19
-
-
-
-
2+1
Add to Reduce
1+9+9
7+3
1+9
-
-
6
-
3
Second Total
19
10
10
-
-
-
-
-
Reduce to Deduce
1+9
1+0
1+0
-
-
6
-
3
Third Totalr
10
1
1
-
-
-
-
-
Reduce to Produce
1+0
-
-
-
-
6
-
3
Essence of Number
1
1
1

 

 

Mintaka /'m?nt?k?/, designation Delta Orionis

Alnitak (Zeta Orionis)

Alnilam (Epsilon Orionis)

the three stars form Orion's Belt,

 

the three stars of Orion's Belt—Alnitak, Alnilam, and Mintaka.

 

-
-
-
-
-
ALNITAK ALNILAM MINTAKA
-
-
-
A
=
1
-
7
ALNITAK
68
23
5
A
=
1
-
7
ALNILAM
62
26
8
M
=
4
-
7
MINTAKA
69
24
6
-
-
6
-
21
ALNITAK ALNILAM MINTAKA
199
73
19
-
-
-
-
2+1
-
1+9+9
7+3
1+9
-
-
6
-
3
ALNITAK ALNILAM MINTAKA
19
10
10
-
-
-
-
-
-
1+9
1+0
1+0
-
-
6
-
3
ALNITAK ALNILAM MINTAKA
10
1
1
-
-
-
-
-
-
1+9
-
-
-
-
6
-
3
ALNITAK ALNILAM MINTAKA
1
1
1

 

the three stars of Orion's Belt—Alnitak, Alnilam, and Mintaka.

 

-
-
-
-
-
ALNITAK ALNILAM MINTAKA
-
-
-
-
1
2
3
4
5
6
7
8
9
A
=
1
-
7
ALNITAK
68
23
5
-
-
-
-
-
-
-
-
-
-
A
=
1
-
7
ALNILAM
62
26
8
-
-
-
-
-
-
-
-
-
-
M
=
4
-
7
MINTAKA
69
24
6
-
-
-
-
-
-
-
-
-
-
-
-
6
-
21
ALNITAK ALNILAM MINTAKA
199
73
19
-
1
2
3
4
5
6
7
8
9
A
=
1
1
1
A
1
1
1
-
1
-
-
-
-
-
-
-
-
L
=
3
2
1
L
12
3
3
-
-
-
3
-
-
-
-
-
-
N
=
5
3
1
N
14
5
5
-
-
-
-
-
5
-
-
-
-
I
=
9
4
1
I
9
9
9
-
-
-
-
-
-
-
-
-
9
T
=
2
5
1
T
20
2
2
-
-
2
-
-
-
-
-
-
-
A
=
1
6
1
A
1
1
1
-
1
-
-
-
-
-
-
-
-
K
=
2
7
1
K
11
2
2
-
-
2
-
-
-
-
-
-
-
-
-
23
-
7
ALNITAK ALNILAM MINTAKA
68
23
23
-
-
-
-
-
-
-
-
-
-
A
=
1
8
1
A
1
1
1
-
1
-
-
-
-
-
-
-
-
L
=
3
9
1
L
12
3
3
-
-
-
3
-
-
-
-
-
-
N
=
5
10
1
N
14
5
5
-
-
-
-
-
5
-
-
-
-
I
=
9
11
1
I
9
9
9
-
-
-
-
-
-
-
-
-
9
L
=
3
12
1
L
12
3
3
-
-
-
3
-
-
-
-
-
-
A
=
1
13
1
A
1
1
1
-
1
-
-
-
-
-
-
-
-
M
=
4
14
1
M
13
4
4
-
-
-
-
4
-
-
-
-
-
-
-
26
-
7
ALNITAK ALNILAM MINTAKA
62
26
26
-
-
-
-
-
-
-
-
-
-
M
=
4
15
1
M
13
4
4
-
-
-
-
4
-
-
-
-
-
I
=
9
16
1
I
9
9
9
-
-
-
-
-
-
-
-
-
9
N
=
5
17
1
N
14
5
5
-
-
-
-
-
5
-
-
-
-
T
=
2
18
1
T
20
2
2
-
-
2
-
-
-
-
-
-
-
A
=
1
19
1
A
1
1
1
-
1
-
-
-
-
-
-
-
-
K
=
2
20
1
K
11
2
2
-
-
2
-
-
-
-
-
-
-
A
=
1
21
1
A
1
1
1
-
1
-
-
-
-
-
-
-
-
-
-
24
-
7
ALNITAK ALNILAM MINTAKA
69
24
24
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
ALNITAK ALNILAM MINTAKA
-
-
-
-
6
8
9
8
15
6
7
8
27
A
=
1
-
7
ALNITAK
68
23
5
-
-
-
-
-
1+5
-
-
-
2+7
A
=
1
-
7
ALNILAM
62
26
8
-
6
8
9
8
6
6
7
8
9
M
=
4
-
7
MINTAKA
69
24
6
-
-
-
-
-
-
-
-
-
-
-
-
6
-
21
ALNITAK ALNILAM MINTAKA
199
73
19
-
6
8
9
8
6
6
7
8
9
-
-
-
-
2+1
-
1+9+9
7+3
1+9
-
-
-
-
-
-
-
-
-
-
-
-
6
-
3
ALNITAK ALNILAM MINTAKA
19
10
10
-
6
8
9
8
6
6
7
8
9
-
-
-
-
-
-
1+9
1+0
1+0
-
-
-
-
-
-
-
-
-
-
-
-
6
-
4
ALNITAK ALNILAM MINTAKA
10
1
1
-
6
8
9
8
6
6
7
8
9
-
-
-
-
-
-
1+9
-
-
-
-
-
-
-
-
-
-
-
-
-
-
6
-
4
ALNITAK ALNILAM MINTAKA
1
1
1
-
6
8
9
8
6
6
7
8
9

 

 

-
-
-
-
-
ALNITAK ALNILAM MINTAKA
-
-
-
-
1
2
3
4
5
6
7
8
9
A
=
1
-
7
ALNITAK
68
23
5
-
-
-
-
-
-
-
-
-
-
A
=
1
-
7
ALNILAM
62
26
8
-
-
-
-
-
-
-
-
-
-
M
=
4
-
7
MINTAKA
69
24
6
-
-
-
-
-
-
-
-
-
-
-
-
6
-
21
ALNITAK ALNILAM MINTAKA
199
73
19
-
1
2
3
4
5
6
7
8
9
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
A
=
1
1
1
A
1
1
1
-
1
-
-
-
-
6
7
8
-
L
=
3
2
1
L
12
3
3
-
-
-
3
-
-
6
7
8
-
N
=
5
3
1
N
14
5
5
-
-
-
-
-
5
6
7
8
-
I
=
9
4
1
I
9
9
9
-
-
-
-
-
-
6
7
8
9
T
=
2
5
1
T
20
2
2
-
-
2
-
-
-
6
7
8
-
A
=
1
6
1
A
1
1
1
-
1
-
-
-
-
6
7
8
-
K
=
2
7
1
K
11
2
2
-
-
2
-
-
-
6
7
8
-
A
=
1
8
1
A
1
1
1
-
1
-
-
-
-
6
7
8
-
L
=
3
9
1
L
12
3
3
-
-
-
3
-
-
6
7
8
-
N
=
5
10
1
N
14
5
5
-
-
-
-
-
5
6
7
8
-
I
=
9
11
1
I
9
9
9
-
-
-
-
-
-
6
7
8
9
L
=
3
12
1
L
12
3
3
-
-
-
3
-
-
6
7
8
-
A
=
1
13
1
A
1
1
1
-
1
-
-
-
-
6
7
8
-
M
=
4
14
1
M
13
4
4
-
-
-
-
4
-
6
7
8
-
M
=
4
15
1
M
13
4
4
-
-
-
-
4
-
6
7
8
-
I
=
9
16
1
I
9
9
9
-
-
-
-
-
-
6
7
8
9
N
=
5
17
1
N
14
5
5
-
-
-
-
-
5
6
7
8
-
T
=
2
18
1
T
20
2
2
-
-
2
-
-
-
6
7
8
-
A
=
1
19
1
A
1
1
1
-
1
-
-
-
-
6
7
8
-
K
=
2
20
1
K
11
2
2
-
-
2
-
-
-
6
7
8
-
A
=
1
21
1
A
1
1
1
-
1
-
-
-
-
6
7
8
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
ALNITAK ALNILAM MINTAKA
-
-
-
-
6
8
9
8
15
6
7
8
27
A
=
1
-
7
ALNITAK
68
23
5
-
-
-
-
-
1+5
-
-
-
2+7
A
=
1
-
7
ALNILAM
62
26
8
-
6
8
9
8
6
6
7
8
9
M
=
4
-
7
MINTAKA
69
24
6
-
-
-
-
-
-
-
-
-
-
-
-
6
-
21
ALNITAK ALNILAM MINTAKA
199
73
19
-
6
8
9
8
6
6
7
8
9
-
-
-
-
2+1
-
1+9+9
7+3
1+9
-
-
-
-
-
-
-
-
-
-
-
-
6
-
3
ALNITAK ALNILAM MINTAKA
19
10
10
-
6
8
9
8
6
6
7
8
9
-
-
-
-
-
-
1+9
1+0
1+0
-
-
-
-
-
-
-
-
-
-
-
-
6
-
4
ALNITAK ALNILAM MINTAKA
10
1
1
-
6
8
9
8
6
6
7
8
9
-
-
-
-
-
-
1+9
-
-
-
-
-
-
-
-
-
-
-
-
-
-
6
-
4
ALNITAK ALNILAM MINTAKA
1
1
1
-
6
8
9
8
6
6
7
8
9

 

LETTERS TRANSPOSED INTO NUMBER REARRANGED IN NUMERICAL ORDER

-
-
-
-
-
ALNITAK ALNILAM MINTAKA
-
-
-
-
1
2
3
4
5
6
7
8
9
A
=
1
-
7
ALNITAK
68
23
5
-
-
-
-
-
-
-
-
-
-
A
=
1
-
7
ALNILAM
62
26
8
-
-
-
-
-
-
-
-
-
-
M
=
4
-
7
MINTAKA
69
24
6
-
-
-
-
-
-
-
-
-
-
-
-
6
-
21
ALNITAK ALNILAM MINTAKA
199
73
19
-
1
2
3
4
5
6
7
8
9
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
A
=
1
1
1
A
1
1
1
-
1
-
-
-
-
6
7
8
-
A
=
1
6
1
A
1
1
1
-
1
-
-
-
-
6
7
8
-
A
=
1
8
1
A
1
1
1
-
1
-
-
-
-
6
7
8
-
A
=
1
13
1
A
1
1
1
-
1
-
-
-
-
6
7
8
-
A
=
1
19
1
A
1
1
1
-
1
-
-
-
-
6
7
8
-
A
=
1
21
1
A
1
1
1
-
1
-
-
-
-
6
7
8
-
T
=
2
5
1
T
20
2
2
-
-
2
-
-
-
6
7
8
-
K
=
2
7
1
K
11
2
2
-
-
2
-
-
-
6
7
8
-
T
=
2
18
1
T
20
2
2
-
-
2
-
-
-
6
7
8
-
K
=
2
20
1
K
11
2
2
-
-
2
-
-
-
6
7
8
-
L
=
3
2
1
L
12
3
3
-
-
-
3
-
-
6
7
8
-
L
=
3
9
1
L
12
3
3
-
-
-
3
-
-
6
7
8
-
L
=
3
12
1
L
12
3
3
-
-
-
3
-
-
6
7
8
-
M
=
4
14
1
M
13
4
4
-
-
-
-
4
-
6
7
8
-
M
=
4
15
1
M
13
4
4
-
-
-
-
4
-
6
7
8
-
N
=
5
3
1
N
14
5
5
-
-
-
-
-
5
6
7
8
-
N
=
5
10
1
N
14
5
5
-
-
-
-
-
5
6
7
8
-
N
=
5
17
1
N
14
5
5
-
-
-
-
-
5
6
7
8
-
I
=
9
4
1
I
9
9
9
-
-
-
-
-
-
6
7
8
9
I
=
9
11
1
I
9
9
9
-
-
-
-
-
-
6
7
8
9
I
=
9
16
1
I
9
9
9
-
-
-
-
-
-
6
7
8
9
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
ALNITAK ALNILAM MINTAKA
-
-
-
-
6
8
9
8
15
6
7
8
27
A
=
1
-
7
ALNITAK
68
23
5
-
-
-
-
-
1+5
-
-
-
2+7
A
=
1
-
7
ALNILAM
62
26
8
-
6
8
9
8
6
6
7
8
9
M
=
4
-
7
MINTAKA
69
24
6
-
-
-
-
-
-
-
-
-
-
-
-
6
-
21
ALNITAK ALNILAM MINTAKA
199
73
19
-
6
8
9
8
6
6
7
8
9
-
-
-
-
2+1
-
1+9+9
7+3
1+9
-
-
-
-
-
-
-
-
-
-
-
-
6
-
3
ALNITAK ALNILAM MINTAKA
19
10
10
-
6
8
9
8
6
6
7
8
9
-
-
-
-
-
-
1+9
1+0
1+0
-
-
-
-
-
-
-
-
-
-
-
-
6
-
4
ALNITAK ALNILAM MINTAKA
10
1
1
-
6
8
9
8
6
6
7
8
9
-
-
-
-
-
-
1+9
-
-
-
-
-
-
-
-
-
-
-
-
-
-
6
-
4
ALNITAK ALNILAM MINTAKA
1
1
1
-
6
8
9
8
6
6
7
8
9

 

 

-
-
-
-
-
ALNITAK ALNILAM MINTAKA
-
-
-
-
1
2
3
4
5
9
A
=
1
-
7
ALNITAK
68
23
5
-
-
-
-
-
-
-
A
=
1
-
7
ALNILAM
62
26
8
-
-
-
-
-
-
-
M
=
4
-
7
MINTAKA
69
24
6
-
-
-
-
-
-
-
-
-
6
-
21
ALNITAK ALNILAM MINTAKA
199
73
19
-
1
2
3
4
5
9
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
A
=
1
1
1
A
1
1
1
-
1
-
-
-
-
-
A
=
1
6
1
A
1
1
1
-
1
-
-
-
-
-
A
=
1
8
1
A
1
1
1
-
1
-
-
-
-
-
A
=
1
13
1
A
1
1
1
-
1
-
-
-
-
-
A
=
1
19
1
A
1
1
1
-
1
-
-
-
-
-
A
=
1
21
1
A
1
1
1
-
1
-
-
-
-
-
T
=
2
5
1
T
20
2
2
-
-
2
-
-
-
-
K
=
2
7
1
K
11
2
2
-
-
2
-
-
-
-
T
=
2
18
1
T
20
2
2
-
-
2
-
-
-
-
K
=
2
20
1
K
11
2
2
-
-
2
-
-
-
-
L
=
3
2
1
L
12
3
3
-
-
-
3
-
-
-
L
=
3
9
1
L
12
3
3
-
-
-
3
-
-
-
L
=
3
12
1
L
12
3
3
-
-
-
3
-
-
-
M
=
4
14
1
M
13
4
4
-
-
-
-
4
-
-
M
=
4
15
1
M
13
4
4
-
-
-
-
4
-
-
N
=
5
3
1
N
14
5
5
-
-
-
-
-
5
-
N
=
5
10
1
N
14
5
5
-
-
-
-
-
5
-
N
=
5
17
1
N
14
5
5
-
-
-
-
-
5
-
I
=
9
4
1
I
9
9
9
-
-
-
-
-
-
9
I
=
9
11
1
I
9
9
9
-
-
-
-
-
-
9
I
=
9
16
1
I
9
9
9
-
-
-
-
-
-
9
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
ALNITAK ALNILAM MINTAKA
-
-
-
-
6
8
9
8
15
27
A
=
1
-
7
ALNITAK
68
23
5
-
-
-
-
-
1+5
2+7
A
=
1
-
7
ALNILAM
62
26
8
-
6
8
9
8
6
9
M
=
4
-
7
MINTAKA
69
24
6
-
-
-
-
-
-
-
-
-
6
-
21
ALNITAK ALNILAM MINTAKA
199
73
19
-
6
8
9
8
6
9
-
-
-
-
2+1
-
1+9+9
7+3
1+9
-
-
-
-
-
-
-
-
-
6
-
3
ALNITAK ALNILAM MINTAKA
19
10
10
-
6
8
9
8
6
9
-
-
-
-
-
-
1+9
1+0
1+0
-
-
-
-
-
-
-
-
-
6
-
4
ALNITAK ALNILAM MINTAKA
10
1
1
-
6
8
9
8
6
9
-
-
-
-
-
-
1+9
-
-
-
-
-
-
-
-
-
-
-
6
-
4
ALNITAK ALNILAM MINTAKA
1
1
1
-
6
8
9
8
6
9

 

 
 
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